Relevant bibliographies by topics / Line algebras

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Line algebras'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Line algebras"

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Burban, Igor, and Olivier Schiffmann. "The composition Hall algebra of a weighted projective line." Journal für die reine und angewandte Mathematik (Crelles Journal) 2013, no. 679 (June 2013): 75–124. http://dx.doi.org/10.1515/crelle.2012.023.

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Abstract In this article, we deal with properties of the reduced Drinfeld double of the composition subalgebra of the Hall algebra of the category of coherent sheaves on a weighted projective line. This study is motivated by applications in the theory of quantized enveloping algebras of some Lie algebras. We obtain a new realization of the quantized enveloping algebras of affine Lie algebras of simply-laced types as well as some new embeddings between them. Moreover, our approach allows to derive new results on the structure of the quantized enveloping algebras of the toroidal algebras of types D4(1, 1), E6(1, 1), E7(1, 1) and E8(1, 1). In particular, our method leads to a construction of a modular action and allows to define a PBW-type basis for that classes of algebras.
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Dales, H. G., and J. P. McClure. "Nonstandard Ideals in Radical Convolution Algebras on a Half-Line." Canadian Journal of Mathematics 39, no. 2 (April 1, 1987): 309–21. http://dx.doi.org/10.4153/cjm-1987-014-8.

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This note is about the interplay between two classes of radical Banach algebras, and we begin by describing the algebras in question.A weight sequence is a positive sequence w = (wn) defined on Z+ (the non-negative integers) and satisfying w0 = 1 and wm+n ≦ wmwn for all m and n in Z+. For such a sequence w, the Banach spaceis a Banach algebra with respect to the convolution product, defined by
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Knibbeler, Vincent, Sara Lombardo, and Jan A. Sanders. "Hereditary automorphic Lie algebras." Communications in Contemporary Mathematics 22, no. 08 (December 20, 2019): 1950076. http://dx.doi.org/10.1142/s0219199719500767.

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We show that automorphic Lie algebras which contain a Cartan subalgebra with a constant-spectrum, called hereditary, are completely described by 2-cocycles on a classical root system taking only two different values. This observation suggests a novel approach to their classification. By determining the values of the cocycles on opposite roots, we obtain the Killing form and the abelianization of the automorphic Lie algebra. The results are obtained by studying equivariant vectors on the projective line. As a byproduct, we describe a method to reduce the computation of the infinite-dimensional space of said equivariant vectors to a finite-dimensional linear computation and the determination of the ring of automorphic functions on the projective line.
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Galé, José E., and Antoni Wawrzynczyk. "Standard ideals in weighted algebras of Korenblyum and Wiener types." MATHEMATICA SCANDINAVICA 108, no. 2 (June 1, 2011): 291. http://dx.doi.org/10.7146/math.scand.a-15173.

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We introduce two types of Banach algebras of analytic functions on the unit disc which can be seen as weighted versions of closed primary ideals of the Korenblyum and (analytic) Wiener algebras, respectively. Such types of algebras arise in connection with convolution Banach algebras of Sobolev type, on the positive half-line, and their discrete analogues defined in terms of higher order differences. We show that all closed ideals are standard for algebras in the first class, and that closed ideals with countable hull are standard in algebras of the second class.
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Brzeziński, Tomasz. "Circle and Line Bundles Over Generalized Weyl Algebras." Algebras and Representation Theory 19, no. 1 (August 30, 2015): 57–69. http://dx.doi.org/10.1007/s10468-015-9562-7.

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Falk, Michael. "Line-Closed Matroids, Quadratic Algebras, and Formal Arrangments." Advances in Applied Mathematics 28, no. 2 (February 2002): 250–71. http://dx.doi.org/10.1006/aama.2001.0780.

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Alami, M., and D. Zhani. "On hereditary interval algebras." International Journal of Mathematics and Mathematical Sciences 2004, no. 35 (2004): 1881–85. http://dx.doi.org/10.1155/s0161171204306162.

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We show that each hereditary interval algebra has a countable density and not conversely. Moreover, we show that, for an interval algebra, having countable density and being subalgebra of the interval algebra over the real line are equivalent statements.
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PEDERSEN, THOMAS VILS. "WEAK-STAR PROPERTIES OF HOMOMORPHISMS FROM WEIGHTED CONVOLUTION ALGEBRAS ON THE HALF-LINE." Journal of the Australian Mathematical Society 89, no. 1 (July 20, 2010): 75–90. http://dx.doi.org/10.1017/s144678871000025x.

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AbstractLet L1(ω) be the weighted convolution algebra L1ω(ℝ+) on ℝ+ with weight ω. Grabiner recently proved that, for a nonzero, continuous homomorphism Φ:L1(ω1)→L1(ω2), the unique continuous extension $\widetilde {\Phi }:M(\omega _1)\to M(\omega _2)$ to a homomorphism between the corresponding weighted measure algebras on ℝ+ is also continuous with respect to the weak-star topologies on these algebras. In this paper we investigate whether similar results hold for homomorphisms from L1(ω) into other commutative Banach algebras. In particular, we prove that for the disc algebra $A(\overline {\mathbb D})$ every nonzero homomorphism $\Phi :L^1({\omega })\to A(\overline {\mathbb D})$ extends uniquely to a continuous homomorphism $\widetilde {\Phi }:M(\omega )\to H^{\infty }(\mathbb D)$ which is also continuous with respect to the weak-star topologies. Similarly, for a large class of Beurling algebras A+v on $\overline {\mathbb D}$ (including the algebra of absolutely convergent Taylor series on $\overline {\mathbb D}$) we prove that every nonzero homomorphism Φ:L1(ω)→A+v extends uniquely to a continuous homomorphism $\widetilde {\Phi }:M(\omega )\to A^+_v$ which is also continuous with respect to the weak-star topologies.
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Dales, H. G., and H. V. Dedania. "Weighted convolution algebras on subsemigroups of the real line." Dissertationes Mathematicae 459 (2009): 1–60. http://dx.doi.org/10.4064/dm459-0-1.

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Liguori, Antonio, Mihail Mintchev, and Liu Zhao. "Boundary Exchange Algebras and Scattering on the Half Line." Communications in Mathematical Physics 194, no. 3 (June 1, 1998): 569–89. http://dx.doi.org/10.1007/s002200050369.

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Dissertations / Theses on the topic "Line algebras"

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Ammar, Gregory, Christian Mehl, and Volker Mehrmann. "Schur-Like Forms for Matrix Lie Groups, Lie Algebras and Jordan Algebras." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501032.

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We describe canonical forms for elements of a classical Lie group of matrices under similarity transformations in the group. Matrices in the associated Lie algebra and Jordan algebra of matrices inherit related forms under these similarity transformations. In general, one cannot achieve diagonal or Schur form, but the form that can be achieved displays the eigenvalues of the matrix. We also discuss matrices in intersections of these classes and their Schur-like forms. Such multistructered matrices arise in applications from quantum physics and quantum chemistry.
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Topley, Lewis William. "Centralisers in classical Lie algebras." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/centralisers-in-classical-lie-algebras(4138e280-d893-443e-b7f2-c30855dc82ee).html.

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In this thesis we shall discuss some properties of centralisers in classical Lie algebas and related structures. Let K be an algebraically closed field of characteristic p greater than or equal to 0. Let G be a simple algebraic group over K. We shall denote by g = Lie(G) the Lie algebra of G, and for x in g denote by g_x the centraliser. Our results follow three distinct but related themes: the modular representation theory of centralisers, the sheets of simple Lie algebras and the representation theory of finite W-algebras and enveloping algebras. When G is of type A or C and p > 0 is a good prime for G, we show that the invariant algebras S(g_x)^{G_x} and U(g_x)^{G_x} and polynomial algebras on rank g generators, that the algebra S(g_x)^{g_x} is generated by S(g_x)^p and S(g_x)^{G_x}, whilst U(g_x)^{g_x} is generated by U(g_x)^{G_x} and the p-centre, generalising a classical theorem of Veldkamp. We apply the latter result to confirm the first Kac-Weisfeiler conjecture for g_x, giving a precise upper bound for the dimensions of simple U(g_x)-modules. This allows us to characterise the smooth locus of the Zassenhaus variety in algebraic terms. These results correspond to an article, soon to appear in the Journal of Algebra. The results of the next chapter are particular to the case x nilpotent with G connected of type B, C or D in any characteristic good for G. Our discussion is motivated by the theory of finite W-algebras which shall occupy our discussion in the final chapter, although we make several deductions of independent interest. We begin by describing a vector space decomposition for [g_x g_x] which in turn allows us to give a formula for dim g_x^\ab where g_x^\ab := g_x / [g_x g_x]. We then concoct a combinatorial parameterisation of the sheets of g containing x and use it to classify the nilpotent orbits lying in a unique sheet. We call these orbits non-singular. Subsequently we give a formula for the maximal rank of sheets containing x and show that it coincides with dim g_x^\ab if and only if x is non-singular. The latter result is applied to show for any (not necessarily nilpotent) x in g lying in a unique sheet, that the orthogonal complement to [g_x g_x] is the tangent space to the sheet, confirming a recent conjecture. In the final chapter we set p = 0 and consider the finite W-algebra U(g,x), again with G of type B, C or D. The one dimensional representations are parameterised by the maximal spectrum of the maximal abelian quotient E = Specm U(g, x)^\ab and we classify the nilpotent elements in classical types for which E is isomorphic to an affine space A^d_K: they are precisely the non-singular elements of the previous chapter. The component group acts naturally on E and the fixed point space lies in bijective correspondence with the set of primitive ideals of U(g) for which the multiplicity of the correspoding primitive quotient is one. We call them multiplicity free. We show that this fixed point space is always an affine space, and calculate its dimension. Finally we exploit Skryabin's equivalence to study parabolic induction of multiplicity free ideals. In particular we show that every multiplicity free ideals whose associated variety is the closure of an induced orbit is itself induced from a completely prime primitive ideals with nice properties, generalising a theorem of Moeglin. The results of the final two chapters make up a part of a joint work with Alexander Premet.
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Dixon, James William Blair. "Rings of semi-algebraic functions on the line." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/rings-of-semialgebraic-functions-on-the-line(a5ec78af-26f4-4770-816f-32a6fcfbde0f).html.

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Chen, Zhangchi. "Differential invariants of parabolic surfaces and of CR hypersurfaces; Directed harmonic currents near non-hyperbolic linearized singularities; Hartogs’ type extension of holomorphic line bundles; (Non-)invertible circulant matrices On differential invariants of parabolic surfaces A counterexample to Hartogs’ type extension of holomorphic line bundles Directed harmonic currents near non-hyperbolic linearized singularities Affine Homogeneous Surfaces with Hessian rank 2 and Algebras of Differential Invariants On nonsingularity of circulant matrices." Thesis, université Paris-Saclay, 2021. http://www.theses.fr/2021UPASM005.

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La thèse se compose de 6 articles. (1) Nous calculons les générateurs des SA₃(ℝ)-invariants pour les surfaces paraboliques. (2) Nous calculons les invariants rigides relatifs pour les hypersurfaces rigides 2-non-dégénérées de rang de Levi constant 1 dans ℂ³: V₀, I₀, Q₀ ayant 11, 52, 824 monômes au numérateur. (3) Nous organisons tous les modèles affinement homogènes non-dégénérés dans ℂ³ en branches inéquivalentes. (4) Pour un courant harmonique dirigé autour d'une singularité linéarisée non-hyperbolique qui ne charge pas les séparatrices triviales dont l'extension triviale à travers 0 est ddc-fermée, nous démontrons que le nombre de Lelong en 0 est : 4.1) strictement positif si λ>0 ; 4.2) nul si λ est rationnel et négatif ; 4.3) nul si λ est négatif et si T est invariant sous l'action d'un sous-groupe cofini du groupe de monodromie. (5) Nous construisons des fibrés holomorphes en droites en toute dimension n>=2 non-prolongeables au sens de Hartogs. (6) Nous montrons que les matrices circulantes ayant k entrées 1 et k+1 entrées 0 dans leur première rangée sont toujours non singulières lorsque 2k+1 est soit une puissance d'un nombre premier, soit un produit de deux nombres premiers distincts. Pour tout autre entier 2k+1, nous exhibons une matrice circulante singulière
The thesis consists of 6 papers. (1) We calculate the generators of SA₃(ℝ)-invariants for parabolic surfaces. (2) We calculate rigid relative invariants for rigid constant Levi-rank 1 and 2-non-degenerate hypersurfaces in ℂ³: V₀, I₀, Q₀ having 11, 52, 824 monomials in their numerators. (3) We organize all affinely homogeneous nondegenerate surfaces in ℂ³ in inequivalent branches. (4) For a directed harmonic current near a non-hyperbolic linearized singularity which does not give mass to any of the trivial separatrices and whose trivial extension across 0 is ddc-closed, we show that the Lelong number at 0 is: 4.1) strictly positive if the eigenvalue λ>0; 4.2) zero if λ is a negative rational number; 4.3) zero if λ<0 and if T is invariant under the action of some cofinite subgroup of the monodromy group. (5) We construct non-extendable, in the sense of Hartogs, holomorphic line bundles in any dimension n>=2. (6) We show that circulant matrices having k ones and k+1 zeros in the first row are always nonsingular when 2k+1 is either a power of a prime, or a product of two distinct primes. For any other integer 2k+1 we exhibit a singular circulant matrix
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Tadanki, Sasidhar. "Multiple resonant multiconductor transmission line resonator design using circulant block matrix algebra." Digital WPI, 2018. https://digitalcommons.wpi.edu/etd-dissertations/249.

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The purpose of this dissertation is to provide a theoretical model to design RF coils using multiconductor transmission line (MTL) structures for MRI applications. In this research, an MTL structure is represented as a multiport network using its port admittance matrix. Resonant conditions and closed-form solutions for different port resonant modes are calculated by solving the eigenvalue problem of port admittance matrix using block matrix algebra. A mathematical proof to show that the solution of the characteristic equation of the port admittance matrix is equivalent to solving the source side input impedance is presented. The proof is derived by writing the transmission chain parameter matrix of an MTL structure, and mathematically manipulating the chain parameter matrix to produce a solution to the characteristic equation of the port admittance matrix. A port admittance matrix can be formulated to take one of the forms depending on the type of MTL structure: a circulant matrix, or a circulant block matrix (CB), or a block circulant circulant block matrix (BCCB). A circulant matrix can be diagonalized by a simple Fourier matrix, and a BCCB matrix can be diagonalized by using matrices formed from Kronecker products of Fourier matrices. For a CB matrix, instead of diagonalizing to compute the eigenvalues, a powerful technique called “reduced dimension method� can be used. In the reduced dimension method, the eigenvalues of a circulant block matrix are computed as a set of the eigenvalues of matrices of reduced dimension. The required reduced dimension matrices are created using a combination of the polynomial representor of a circulant matrix and a permutation matrix. A detailed mathematical formulation of the reduced dimension method is presented in this thesis. With the application of the reduced dimension method for a 2n+1 MTL structure, the computation of eigenvalues for a 4n X 4n port admittance matrix is simplified to the computation of eigenvalues of 2n matrices of size 2 X 2. In addition to reduced computations, the model also facilitates analytical formulations for coil resonant conditions. To demonstrate the effectiveness of the proposed methods (2n port model and reduced dimension method), a two-step approach was adopted. First, a standard published RF coil was analyzed using the proposed models. The obtained resonant conditions are then compared with the published values and are verified by full-wave numerical simulations. Second, two new dual tuned coils, a surface coil design using the 2n port model, and a volume coil design using the reduced dimensions method are proposed, constructed, and bench tested. Their validation was carried out by employing 3D EM simulations as well as undertaking MR imaging on clinical scanners. Imaging experiments were conducted on phantoms, and the investigations indicate that the RF coils achieve good performance characteristics and a high signal-to-noise ratio in the regions of interest.
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Stigner, Carl. "Hopf and Frobenius algebras in conformal field theory." Doctoral thesis, Karlstads universitet, Avdelningen för fysik och elektroteknik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-14456.

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There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. In addition, many of the interesting theories satisfy a finiteness condition, that together with the symmetries allows for a fully non-perturbative treatment, and even for a complete solution in a mathematically rigorous manner. One of the crucial tools which make such a treatment possible is provided by category theory. This thesis contains results relevant for two different classes of conformal field theory. We partly treat rational conformal field theory, but also derive results that aim at a better understanding of logarithmic conformal field theory. For rational conformal field theory, we generalize the proof that the construction of correlators, via three-dimensional topological field theory, satisfies the consistency conditions to oriented world sheets with defect lines. We also derive a classifying algebra for defects. This is a semisimple commutative associative algebra over the complex numbers whose one-dimensional representations are in bijection with the topological defect lines of the theory. Then we relax the semisimplicity condition of rational conformal field theory and consider a larger class of categories, containing non-semisimple ones, that is relevant for logarithmic conformal field theory. We obtain, for any finite-dimensional factorizable ribbon Hopf algebra H, a family of symmetric commutative Frobenius algebras in the category of bimodules over H. For any such Frobenius algebra, which can be constructed as a coend, we associate to any Riemann surface a morphism in the bimodule category. We prove that this morphism is invariant under a projective action of the mapping class group ofthe Riemann surface. This suggests to regard these morphisms as candidates for correlators of bulk fields of a full conformal field theories whose chiral data are described by the category of left-modules over H.
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Sequin, Matthew James. "Comparing Invariants of 3-Manifolds Derived from Hopf Algebras." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338251228.

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Purslow, Thomas. "Maximal subalgebras of the exceptional Lie algebras in low characteristic." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/maximal-subalgebras-of-the-exceptional-lie-algebras-in-low-characteristic(8ebc7b9a-98fe-4ab0-82a9-ab71ef89fdb9).html.

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Benner, P., and R. Byers. "Newtons method with exact line search for solving the algebraic Riccati equation." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800775.

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This paper studies Newton's method for solving the algebraic Riccati equation combined with an exact line search. Based on these considerations we present a Newton{like method for solving algebraic Riccati equations. This method can improve the sometimes erratic convergence behavior of Newton's method.
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Böhm, Josef. "Linking Geometry, Algebra and Calculus with GeoGebra." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79488.

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GeoGebra is a free, open-source, and multi-platform software that combines dynamic geometry, algebra and calculus in one easy-to-use package. Students from middle-school to university can use it in classrooms and at home. In this workshop, we will introduce the features of GeoGebra with a special focus on not very common applications of a dynamic geometry program. We will inform about plans for developing training and research networks connected to GeoGebra. We can expect that at the time of the conference a spreadsheet will be integrated into GeoGebra which offers new ways teaching mathematics using the interplay between the features of a spreadsheet and the objects of dynamic geometry.
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Books on the topic "Line algebras"

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Mizumachi, Tetsu. Stability of line solitons for the KP-II equation in R2. Providence, Rhode Island: American Mathematical Society, 2015.

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Andréka, Hajnal, Miklós Ferenczi, and István Németi, eds. Cylindric-like Algebras and Algebraic Logic. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35025-2.

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Jacobson, Nathan. Finite-dimensional division algebras over fields. Berlin: Springer, 1996.

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Inc, ebrary, ed. Simple Lie algebras over fields of positive characteristic: Classifying the absolute toral rank two case. Berlin: Walter de Gruyter, 2009.

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Adler, Mark. Algebraic integrability, Painlevé geometry and Lie algebras. Berlin: Springer, 2004.

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Seligman, George B. Constructions of Lie algebras and their modules. Berlin: Springer-Verlag, 1988.

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Structure of the level one standard modules for the affine Lie algebras Bl⁽¹⁾, F₄⁽¹⁾, and G₂⁽¹⁾. Providence, R.I., USA: American Mathematical Society, 1987.

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Mirko, Primc, ed. Structure of the standard modules for the affine Lie algebra A₁ superscript (1). Providence, R.I: American Mathematical Society, 1985.

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Kostant, Bertram. Collected papers. Edited by Joseph Anthony 1942-, Vergne Michèle, and Kumar S. (Shrawan) 1953-. Dordrecht: Springer, 2009.

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Lectures on sl2 (C)-modules. London: Imperial College Press, 2010.

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Book chapters on the topic "Line algebras"

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Maks, Johannes G. "Spacetime Algebra and Line Geometry." In Clifford (Geometric) Algebras, 449–57. Boston, MA: Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4104-1_31.

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Zhitomirskii, Michail. "Homogeneous affine line fields and affine lines in Lie algebras." In Geometric Control Theory and Sub-Riemannian Geometry, 371–84. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02132-4_21.

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Zhang, Yiwen, Gerald Sommer, and Eduardo Bayro-Corrochano. "The Motor Extended Kalman Filter for Dynamic Rigid Motion Estimation from Line Observations." In Geometric Computing with Clifford Algebras, 501–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04621-0_21.

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Horst, S. ter, M. A. Kaashoek, and F. van Schagen. "The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line." In Operator Algebras, Toeplitz Operators and Related Topics, 145–73. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_12.

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Tumwesigye, Alex Behakanira, Johan Richter, and Sergei Silvestrov. "Commutants in Crossed Product Algebras for Piecewise Constant Functions on the Real Line." In Springer Proceedings in Mathematics & Statistics, 427–44. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_18.

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Eastwood, Michael. "Algebras Like Clifford Algebras." In Clifford Algebras, 265–78. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-2044-2_17.

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Goze, Michel, and Yusupdjan Khakimdjanov. "The Algebraic Variety of the Laws of Lie Algebras." In Nilpotent Lie Algebras, 170–249. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2432-6_5.

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Bump, Daniel. "Hecke Algebras." In Lie Groups, 384–96. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3_48.

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Bump, Daniel. "Hecke Algebras." In Lie Groups, 471–83. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8024-2_46.

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Iachello, Francesco. "Degeneracy Algebras and Dynamical Algebras." In Lie Algebras and Applications, 247–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44494-8_15.

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Conference papers on the topic "Line algebras"

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Gnesi, Stefania, and Marinella Petrocchi. "Towards an executable algebra for product lines." In the 16th International Software Product Line Conference. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2364412.2364424.

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Poletaeva, Elena, and Vladimir Dobrev. "On Exceptional Superconformal Algebras." In LIE THEORY AND ITS APPLICATIONS IN PHYSICS: VIII International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3460169.

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Tribastone, Mirco. "Behavioral relations in a process algebra for variants." In SPLC '14: 18th International Software Product Line Conference. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2648511.2648520.

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Jenei, Sandor. "On group-like FLe-algebras." In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2015. http://dx.doi.org/10.1109/fuzz-ieee.2015.7337814.

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Accardi, Luigi, Andreas Boukas, and Vladimir Dobrev. "The Centrally Extended Heisenberg Algebra and Its Connection with the Schrödinger, Galilei and Renormalized Higher Powers of Quantum White Noise Lie Algebras." In LIE THEORY AND ITS APPLICATIONS IN PHYSICS: VIII International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3460157.

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Kawazoe, T., T. Oshima, and S. Sano. "Representation Theory of Lie Groups and Lie Algebras." In Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537162.

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Bokut, Leonid A. "My life in mathematics, 60 years." In 3rd International Congress in Algebras and Combinatorics (ICAC2017). WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811215476_0002.

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Kac, Victory G. "INFINITE DIMENSIONAL LIE ALGEBRAS AND GROUPS." In Proceedings of the Infinite Dimensional Lie Algebras and Groups. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789812798343.

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Figliolini, Giorgio, Marco Conte, and Pierluigi Rea. "Algebraic Algorithm for the Kinematic Analysis of Slider-Crank/Rocker Mechanisms." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28082.

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Abstract:
This paper deals with the formulation of an algebraic algorithm for the kinematic analysis of slider-crank/rocker mechanisms, which is based on the use of geometric loci, as the fixed and moving centrodes, the cubic of stationary curvature and the inflection circle. In particular, both centrodes are formulated in implicit and explicit algebraic forms by using the complex algebra. Moreover, the algebraic curves representing the moving centrodes are also recognized and proven to be Jerˇa´bek’s curves for the first time. Then, the cubic of stationary curvature along with the inflection circle are expressed in algebraic form by using the geometric invariants. Finally, the proposed algorithm has been implemented in a Matlab code and interesting numerical and graphical results are shown along with some particular cases in which the geometric loci degenerate in lines and circles.
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DAMOUR, THIBAULT. "COSMOLOGICAL SINGULARITIES, BILLIARDS AND LORENTZIAN KAC-MOODY ALGEBRAS." In A Celebration of the Life and Works of Stanley Deser. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774804_0005.

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Reports on the topic "Line algebras"

1

Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-265-278.

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Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-16-2009-77-91.

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Yanovski, Alexander. Compatible Poisson Tensors Related to Bundles of Lie Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-307-319.

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Neeb, Karl-Hermann. Lie Algebra Extensions and Higher Order Cocycles. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-5-2006-48-74.

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Kenny, Joseph P., Brett William Bader, and Tamara Gibson Kolda. Higher-order web link analysis using multilinear algebra. Office of Scientific and Technical Information (OSTI), July 2005. http://dx.doi.org/10.2172/974401.

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Wang, Chunxi, and A. Chao. Notes on lie algebraic analysis of achromats. Office of Scientific and Technical Information (OSTI), January 1995. http://dx.doi.org/10.2172/48746.

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Tanasa, Adrian, and A'ngel Ballesteros. Solutions for the Constant Quantum Yang-Baxter Equation From Lie (Super) Algebras. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-10-2007-83-92.

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Berceanu, Stefan. A Holomorphic Representation of the Semidirect Sum of Symplectic and Heisenberg Lie Algebras. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-5-2006-5-13.

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Hrivnak, Jiri Hrivnak. Associated Lie Algebras and Graded Contractions of the Pauli Graded sl(3,C). Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-6-2006-47-54.

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Gerdjikov, Vladimir, and Georgi Grahovski. Second Order Reductions of N-Wave Interactions Related to Low-rank Simple Lie Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-55-77.

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