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Relevant bibliographies by topics / Motives (Mathematics) Lie algebras

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Academic literature on the topic 'Motives (Mathematics) Lie algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Motives (Mathematics) Lie algebras"

1

Bloch, Spencer. "Algebraic cycles and the Lie algebra of mixed Tate motives." Journal of the American Mathematical Society 4, no. 4 (1991): 771. http://dx.doi.org/10.1090/s0894-0347-1991-1102577-2.

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SCHWEITZER, LARRY B. "SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS." International Journal of Mathematics 04, no. 02 (1993): 289–317. http://dx.doi.org/10.1142/s0129167x93000157.

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We define the notion of strong spectral invariance for a dense Fréchet subalgebra A of a Banach algebra B. We show that if A is strongly spectral invariant in a C*-algebra B, and G is a compactly generated polynomial growth Type R Lie group, not necessarily connected, then the smooth crossed product G ⋊ A is spectral invariant in the C*-crossed product G ⋊ B. Examples of such groups are given by finitely generated polynomial growth discrete groups, compact or connected nilpotent Lie groups, the group of Euclidean motions on the plane, the Mautner group, or any closed subgroup of one of these.

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Aminova, A. V., and D. A. Kalinin. "Lie algebras ofH-projective motions of Kähler manifolds of constant holomorphic sectional curvature." Mathematical Notes 65, no. 6 (1999): 679–83. http://dx.doi.org/10.1007/bf02675580.

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LYAKHOVSKY, V. D., and M. E. SAMSONOV. "ELEMENTARY PARABOLIC TWIST." Journal of Algebra and Its Applications 01, no. 04 (2002): 413–24. http://dx.doi.org/10.1142/s0219498802000306.

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The twist deformations for simple Lie algebras [Formula: see text] whose twisting elements ℱ are known explicitly are usually defined on the carrier subspace injected in the Borel subalgebra [Formula: see text]. We consider the case where the carrier of the twist intersects nontrivially with both [Formula: see text] and [Formula: see text]. The main element of the new deformation is the parabolic twist ℱ℘ whose carrier is the minimal parabolic subalgebra of simple Lie algebra [Formula: see text]. It has the structure of the algebra of two-dimensional motions, contains [Formula: see text] and i

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5

Park, Wooram, Yan Liu, Yu Zhou, Matthew Moses, and Gregory S. Chirikjian. "Kinematic state estimation and motion planning for stochastic nonholonomic systems using the exponential map." Robotica 26, no. 4 (2008): 419–34. http://dx.doi.org/10.1017/s0263574708004475.

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SUMMARYA nonholonomic system subjected to external noise from the environment, or internal noise in its own actuators, will evolve in a stochastic manner described by an ensemble of trajectories. This ensemble of trajectories is equivalent to the solution of a Fokker–Planck equation that typically evolves on a Lie group. If the most likely state of such a system is to be estimated, and plans for subsequent motions from the current state are to be made so as to move the system to a desired state with high probability, then modeling how the probability density of the system evolves is critical.

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Bakšová, Marta, and Anton Dekrét. "On some cohomological properties of the Lie algebra of Euclidean motions." Mathematica Bohemica 134, no. 4 (2009): 337–48. http://dx.doi.org/10.21136/mb.2009.140665.

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Li, Haisheng, Shaobin Tan, and Qing Wang. "Trigonometric Lie algebras, affine Lie algebras, and vertex algebras." Advances in Mathematics 363 (March 2020): 106985. http://dx.doi.org/10.1016/j.aim.2020.106985.

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Nam, Ki-Bong, and Moon-Ok Wang. "SIMPLE LIE ALGEBRAS WHICH GENERALIZE KPS`S LIE ALGEBRAS." Communications of the Korean Mathematical Society 17, no. 2 (2002): 237–43. http://dx.doi.org/10.4134/ckms.2002.17.2.237.

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Park, Chun-Gil. "Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras." Journal of Mathematical Analysis and Applications 293, no. 2 (2004): 419–34. http://dx.doi.org/10.1016/j.jmaa.2003.10.051.

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King, Jeremy D. "Finite Presentations of Lie Algebras And Restricted Lie Algebras." Bulletin of the London Mathematical Society 28, no. 3 (1996): 249–54. http://dx.doi.org/10.1112/blms/28.3.249.

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Dissertations / Theses on the topic "Motives (Mathematics) Lie algebras"

1

Traustason, Gunnar. "Engel Lie algebras." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334292.

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Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.

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Williams, Michael Peretzian. "Nilpotent N-Lie Algebras." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-02162004-083708/.

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In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras has not been examined in great detail in the literature since. We shall explore the concept of nilpotent $n$-Lie algebras by examining, and proving where possible, other classical nilpotent group theory and nilpotent Lie algebra results, in the $n$-Lie algebra setting.

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4

Alajaji, Sami E. (Sami Emmanuel). "Central filtrations of Lie algebras." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22714.

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Consider L to be a graded free Lie algebra over a principal ideal domain, and r a nonzero element of L such that its leading term s, i.e. its homogeneous component of highest order, is not a proper multiple. The main result we show in this thesis is that the graded ideal of leading terms of elements in R = (r) is equal to the ideal generated by the element s. As a consequence we prove that the center of L/R is trivial if the rank of the free Lie algebra L is greater than two.

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Burroughs, Nigel John. "The quantisation of Lie groups and Lie algebras." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358486.

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6

Hillman, Rebecca Ann. "Relationship between Symmetric Brace Algebras and Pre-Lie Algebras." NCSU, 2005. http://www.lib.ncsu.edu/theses/available/etd-03292005-215238/.

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In this paper, we review the definitions of brace algebras, symmetric brace algebras, and pre-Lie algebras. We also look at a few examples of the calculations used in the brace algebra relations. We discuss the results of other mathematicians in these fields and where the topic of symmetric brace algebras is used. We then show a direct proof that a symmetric brace algebra is isomorphic to a pre-Lie algebra, using only the definitions. Showing that a symmetric brace algebra yields a pre-Lie algebra is very straightforward. However, the converse, a pre-Lie algebra yields a symmetric brace algebr

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Roberts, Kieran. "Lie algebras and incidence geometry." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3483/.

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An element \(\char{cmti10}{0x78}\) of a Lie algebra \(\char{cmmi10}{0x4c}\) over the field \(\char{cmmi10}{0x46}\) is extremal if [\(\char{cmti10}{0x78}\), [\(\char{cmti10}{0x78}\), \(\char{cmmi10}{0x4c}\)]] \(\subseteq\)\(\char{cmmi10}{0x46}\)\(\char{cmti10}{0x78}\). One can define the extremal geometry of \(\char{cmmi10}{0x4c}\) whose points \(\char{cmsy10}{0x45}\) are the projective points of extremal elements and lines \(\char{cmsy10}{0x46}\) are projective lines all of whose points belong to \(\char{cmsy10}{0x45}\). We prove that any finite dimensional simple Lie algebra \(\char{cmmi10}{0

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Knibbeler, Vincent. "Invariants of automorphic Lie algebras." Thesis, Northumbria University, 2015. http://nrl.northumbria.ac.uk/23590/.

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Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a finite group, the reduction group. Since their introduction in 2005 [29, 31], mathematicians aimed to classify Automorphic Lie Algebras. Past work shows remarkable uniformity between the Lie algebras associated to different reduction groups. That is, many Automorphic Lie Algebras with nonisomorphic reduction groups are isomorphic [4, 30]. In this

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Ben, Abdeljelil Amine. "Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras." Scholar Commons, 2019. https://scholarcommons.usf.edu/etd/7743.

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We generalize the results of Leger and Luks and other researchers about generalized derivations to the cases of ternary Lie algebras and n-BiHom Lie algebras. We investigate the derivations algebras of ternary Lie algebras induced from Lie algebras, we explore the subalgebra of quasi-derivations and give their properties. Moreover, we give a classification of the derivations algebras for low dimensional ternary Lie algebras. For the class of n-BiHom Lie algebras, we study the algebras of generalized derivations and prove that the algebra of quasi-de

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Fletcher, Paul. "Lie algebras : infinite generalizations and deformations." Thesis, Durham University, 1990. http://etheses.dur.ac.uk/6187/.

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There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas. The structures studied are Lie algebras of infinite dimension and the deformations of Lie algebras known as quantum algebras. The approach is algebraic, although physical applications are indicated. Chapter 1 The mathematics of finite and infinite dimensional Lie algebras is reviewed, together with an indication of well established uses in physics. The terms and notation used in the rest of the thesis are introduced.

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Books on the topic "Motives (Mathematics) Lie algebras"

1

Beltiţă, Daniel. Lie Algebras of Bounded Operators. Birkhäuser Basel, 2001.

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2

Moody, R. V. Lie algebras with triangular decompositions. Wiley, 1995.

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3

1941-, Șabac Mihai, ed. Lie algebras of bounded operators. Birkhäuser Verlag, 2001.

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4

1959-, McGovern William M., ed. Nilpotent orbits in semisimple Lie algebras. Van Nostrand Reinhold, 1993.

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5

McKay, W. G. Tables of representation of simple Lie algebras. Université de Montréal, Centre de recherches mathématiques, 1990.

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6

Adler, Mark. Algebraic Integrability, Painlevé Geometry and Lie Algebras. Springer Berlin Heidelberg, 2004.

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7

Meinrenken, Eckhard. Clifford Algebras and Lie Theory. Springer Berlin Heidelberg, 2013.

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8

Duistermaat, J. J. Lie groups. Springer, 2000.

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9

A, Rossi Carlo, and European Mathematical Society, eds. Lectures on Duflo isomorphisms in Lie algebra and complex geometry. European Mathematical Society, 2011.

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10

K, Raina A., ed. Bombay lectures on highest weight representations of infinite dimensional lie algebras. World Scientific, 1987.

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Book chapters on the topic "Motives (Mathematics) Lie algebras"

1

Dixmier, Jacques. "Lie algebras." In Graduate Studies in Mathematics. American Mathematical Society, 1996. http://dx.doi.org/10.1090/gsm/011/01.

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Choie, YoungJu, and Min Ho Lee. "Lie Algebras." In Springer Monographs in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29123-5_4.

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Hall, Brian C. "Lie Algebras." In Graduate Texts in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13467-3_3.

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Serre, Jean-Pierre. "Nilpotent Lie Algebras and Solvable Lie Algebras." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56884-8_1.

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Bröcker, Theodor, and Tammo tom Dieck. "Lie Groups and Lie Algebras." In Graduate Texts in Mathematics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12918-0_1.

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Fulton, William, and Joe Harris. "Lie Algebras and Lie Groups." In Graduate Texts in Mathematics. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4612-0979-9_8.

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Berndt, Rolf. "Lie groups and Lie algebras." In Graduate Studies in Mathematics. American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/026/08.

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Helgason, Sigurdur. "Lie groups and Lie algebras." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/034/02.

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Berestovskii, Valerii, and Yurii Nikonorov. "Lie Groups and Lie Algebras." In Springer Monographs in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56658-6_2.

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Sobczyk, Garret. "Lie Groups and Lie Algebras." In New Foundations in Mathematics. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8385-6_18.

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Conference papers on the topic "Motives (Mathematics) Lie algebras"

1

Zargeh, Chia. "A note on solvable and nilpotent Lie algebras." In The First Regional Conference on the Advanced Mathematics and Its Applications. Ispacs GmbH, 2012. http://dx.doi.org/10.5899/2012/cjac-001-017.

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WANG, HONG-YU. "NONLINEAR SCHRÖDINGER SYSTEMS ASSOCIATED WITH HERMITIAN SYMMETRIC LIE ALGEBRAS." In Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776419_0017.

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