Academic literature on the topic 'Symmetry (Mathematics) Spinor analysis'

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Journal articles on the topic "Symmetry (Mathematics) Spinor analysis"

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Eager, Richard, Ingmar Saberi, and Johannes Walcher. "Nilpotence Varieties." Annales Henri Poincaré 22, no. 4 (2021): 1319–76. http://dx.doi.org/10.1007/s00023-020-01007-y.

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AbstractWe consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra. Most of these varieties have appeared in various guises in previous literature, but we study them systematically here, from a new perspective: As the natural moduli spaces parameterizing twists of a super-Poincaré-invariant physical theory. We obtain a classification of all possible twists, as well as a systematic analysi
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Marchuk, N. G. "Field theory equations with spinor gauge symmetry." Doklady Mathematics 83, no. 2 (2011): 155–57. http://dx.doi.org/10.1134/s1064562411020062.

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McKeon, D. G. C. "Canonical analysis of a system with fermionic gauge symmetry." Canadian Journal of Physics 91, no. 1 (2013): 19–22. http://dx.doi.org/10.1139/cjp-2012-0324.

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A non-abelian gauge field with a topological action is coupled to a spin-3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a fermionic symmetry and the algebra of these symmetries closes; it is not the algebra of supergravity. The action is invariant without the need to introduce auxiliary fields.
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NICOLAIDIS, A., and V. KIOSSES. "SPINOR GEOMETRY." International Journal of Modern Physics A 27, no. 22 (2012): 1250126. http://dx.doi.org/10.1142/s0217751x12501266.

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It has been proposed that quantum mechanics and string theory share a common inner syntax, the relational logic of C. S. Peirce. Along this line of thought we consider the relations represented by spinors. Spinor composition leads to the emergence of Minkowski space–time. Inversely, the Minkowski space–time is istantiated by the Weyl spinors, while the merger of two Weyl spinors gives rise to a Dirac spinor. Our analysis is applied also to the string geometry. The string constraints are represented by real spinors, which create a parametrization of the string worldsheet identical to the Ennepe
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Athanasopoulos, Panos, and Alon E. Faraggi. "Niemeier Lattices in the Free Fermionic Heterotic–String Formulation." Advances in Mathematical Physics 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/3572469.

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The spinor–vector duality was discovered in free fermionic constructions of the heterotic string in four dimensions. It played a key role in the construction of heterotic–string models with an anomaly-free extra Z′ symmetry that may remain unbroken down to low energy scales. A generic signature of the low scale string derived Z′ model is via diphoton excess that may be within reach of the LHC. A fascinating possibility is that the spinor–vector duality symmetry is rooted in the structure of the heterotic–string compactifications to two dimensions. The two-dimensional heterotic–string theories
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McKeon, D. G. C. "A canonical analysis of the massless superparticle." Canadian Journal of Physics 91, no. 8 (2013): 604–9. http://dx.doi.org/10.1139/cjp-2012-0408.

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The canonical structure of the action for a massless superparticle is considered in d = 2 + 1 and d = 3 + 1 dimensions. This is done by examining the contribution to the action of each of the components of the spinor θ present; no attempt is made to maintain manifest covariance. Upon using the Dirac bracket to eliminate the second class constraints arising from the canonical momenta associated with half of these components, we find that the remaining components have canonical momenta that are all first-class constraints. From these first class constraints, it is possible to derive the generato
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Camporesi, Roberto. "Harmonic Analysis for Spinor Fields in Complex Hyperbolic Spaces." Advances in Mathematics 154, no. 2 (2000): 367–442. http://dx.doi.org/10.1006/aima.2000.1929.

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Pernpointner, Markus, and Lucas Visscher. "Parallelization of four-component calculations. II. Symmetry-driven parallelization of the 4-Spinor CCSD algorithm." Journal of Computational Chemistry 24, no. 6 (2003): 754–59. http://dx.doi.org/10.1002/jcc.10215.

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Liu, Zuhan. "Spinor Ginzburg–Landau equation and mean curvature flow." Nonlinear Analysis: Theory, Methods & Applications 71, no. 5-6 (2009): 2053–86. http://dx.doi.org/10.1016/j.na.2009.01.042.

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Cao, Daomin, I.-Liang Chern, and Jun-Cheng Wei. "On ground state of spinor Bose–Einstein condensates." Nonlinear Differential Equations and Applications NoDEA 18, no. 4 (2011): 427–45. http://dx.doi.org/10.1007/s00030-011-0102-9.

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Dissertations / Theses on the topic "Symmetry (Mathematics) Spinor analysis"

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Calderbank, David M. J. "Geometrical aspects of spinor and twistor analysis." Thesis, University of Warwick, 1995. http://wrap.warwick.ac.uk/37077/.

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This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary. I aim to demonstrate that the analysis of the Dirac operator is a natural generalisation of complex analysis to manifolds of arbitrary dimension, by providing, as far as possible, elementary proofs of the main analytical results about the boundary behaviour of solutions to the Dirac equation. I emphasise throughout the conformal invariance of the theory, and also the usefulness of the
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Mendes, Douglas 1985. "Álgebras de Clifford e a fibração de Hopf." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306400.

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Orientador: Rafael de Freitas Leão<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-20T03:14:46Z (GMT). No. of bitstreams: 1 Mendes_Douglas_M.pdf: 1234399 bytes, checksum: 9934061cdc7cbbc1da3d2586302aac2e (MD5) Previous issue date: 2012<br>Resumo: Os grupos Spin aparecem de várias formas em Matemática e em Física-Matemática, tendo grande importância na teoria de brados e de operadores diferenciais sobre os mesmos. O conceito de estrutura spin é deles derivado, sendo ele a base de
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Redmond, Brian F. "Bifurcation analysis of a class of delay-differential equations with reflectional symmetry: Applications to ENSO." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6242.

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We consider a general class of first-order nonlinear delay-differential equations (DDEs) with reflectional symmetry, and study completely the bifurcations of the trivial equilibrium under some generic conditions on the Taylor coefficients of the DDE. Our analysis reveals a Hopf bifurcation curve terminating on a pitchfork bifurcation line at a codimension two Takens-Bogdanov point in parameter space. We compute the normal form coefficients of the reduced vector field on the centre manifold in terms of the Taylor coefficients of the original DDE, and in contrast to many previous bifurcation ana
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Strazzullo, Francesco. "Symmetry Analysis of General Rank-3 Pfaffian Systems in Five Variables." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/449.

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In this dissertation we applied geometric methods to study underdetermined second order scalar ordinary differential equations (called general Monge equations), nonlinear involutive systems of two scalar partial differential equations in two independent variables and one unknown and non-Monge-Ampere Goursat parabolic scalar PDE in the plane. These particular kinds of differential equations are related to general rank-3 Pfaffian systems in five variables. Cartan studied these objects in his 1910 paper. In this work Cartan provided normal forms only for some general rank-3 Pfaffian systems wi
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Ley, Christophe. "Univariate and multivariate symmetry: statistical inference and distributional aspects." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210029.

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This thesis deals with several statistical and probabilistic aspects of symmetry and asymmetry, both in a univariate and multivariate context, and is divided into three distinct parts.<p><p>The first part, composed of Chapters 1, 2 and 3 of the thesis, solves two conjectures associated with multivariate skew-symmetric distributions. Since the introduction in 1985 by Adelchi Azzalini of the most famous representative of that class of distributions, namely the skew-normal distribution, it is well-known that, in the vicinity of symmetry, the Fisher information matrix is singular and the profile l
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Sung, Shiau-Ling, and 宋筱玲. "Analysis of Elementary Mathematics Textbooks :Line Symmetry." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/81282566974968346967.

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碩士<br>國立新竹教育大學<br>數理教育研究所數學教育教學碩士班<br>104<br>The study aims to investigate the arrangement of the order of teaching and the presentation of examples as well as the differences in the contents and editing of sample questions in the lesson on line symmetric figures in three versions of math textbooks and exercise books for elementary school students in Taiwan. In this study, the techniques of content analysis and grounded theory were adopted. The results of this study are as follows: 一、The learning sequences in knowledge about line symmetric figures were similar in all the versions: The prior ex
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Awais, Muhammad. "Symmetry Transforms, Global Plasma Equilibria and Homotopy Analysis Method." Thesis, 2010. http://hdl.handle.net/1974/5987.

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Magnetohydrodynamics (MHD) flows and equations have been the focus of a large number of researchers. Here a study of such flows and equations is presented. The first chapter contains a brief introduction to Homotopy Analysis Method (HAM) along with some other definitions. A detailed example on the application of HAM is also included to further clarify the scheme of the method. Second chapter deals with a study of symmetry transforms for ideal MHD equations which comes from the work of Bogoyavlenskij [18]. Different properties of such transforms are also discussed which include the infinite-di
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Maharaj, Adhir. "Singularity and symmetry analysis of differential sequences." Thesis, 2009. http://hdl.handle.net/10413/8085.

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We introduce the notion of differential sequences generated by generators of sequences. We discuss the Riccati sequence in terms of symmetry analysis, singularity analysis and identification of the complete symmetry group for each member of the sequence. We provide their invariants and first integrals. We propose a generalisation of the Riccati sequence and investigate its properties in terms of singularity analysis. We find that the coefficients of the leading-order terms and the resonances obey certain structural rules. We also demonstrate the uniqueness of the Riccati sequence up to an equi
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"Image-based symmetry analysis and its applications." Thesis, 2011. http://library.cuhk.edu.hk/record=b6075186.

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In this thesis, we primarily focus on one common type of symmetry, the translational symmetry. We first review the current state-of-the-art methods for translational symmetry detection, and discuss their benefits and drawbacks. Towards an efficient, automatic and widely applicable translational symmetry detector, we develop a novel method for automatically detecting translational symmetry patterns, and extracting the corresponding lattices from images without pre-segmentation or reconstructing the underlying 3D geometry. In particular, we employ a region-based feature and fully utilize its reg
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"Applications of symmetry analysis to physically relevant differential equations." Thesis, 2005. http://hdl.handle.net/10413/2546.

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We investigate the role of Lie symmetries in generating solutions to differential equations that arise in particular physical systems. We first provide an overview of the Lie analysis and review the relevant symmetry analysis of differential equations in general. The Lie symmetries of some simple ordinary differential equations are found t. illustrate the general method. Then we study the properties of particular ordinary differential equations that arise in astrophysics and cosmology using the Lie analysis of differential equations. Firstly, a system of differential equations arising in the m
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Books on the topic "Symmetry (Mathematics) Spinor analysis"

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Fujita, Shinsaku. Symmetry and combinatorial enumeration in chemistry. Springer-Verlag, 1991.

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de, Andrés Luis Carlos, ed. Special metrics and supersymmetry: Workshop on Geometry and Physics: Special Metrics and Supersymmetry : Bilbao, Spain, 29-31 May 2008. American Institute of Physics, 2009.

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1944-, Gilligan Bruce, and Roos Guy, eds. Symmetries in complex analysis: Workshop on Several Complex Variables, Analysis on Complex Lie Groups, and Homogeneous Spaces, October 17-29, 2005, Ahejiang University, Hangzhou, P.R. China. American Mathematical Society, 2008.

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Fushchich, Vilʹgelʹm Ilʹich. Symmetry analysis and exact solutions of equations of nonlinear mathematical physics. Kluwer Academic Publishers, 1993.

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Paul, Sally, ed. Number, shape, and symmetry: An introduction to number theory, geometry, and group theory. A K Peters, 2012.

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L, Allgower E., Georg Kurt, and Miranda Rick 1953-, eds. Exploiting symmetry in applied and numerical analysis: 1992 AMS-SIAM Summer Seminar in Applied Mathematics, July 26-August 1, 1992, Colorado State University. American Mathematical Society, 1993.

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András, Aszódi, ed. Protein geometry, classification, topology and symmetry: A computational analysis of structure. Institute of Physics Pub., 2005.

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Conway, John Horton. On quaternions and octonions: Their geometry, arithmetic, and symmetry. AK Peters, 2003.

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W, Tucker R., ed. An introduction to spinors and geometry with applications in physics. A. Hilger, 1987.

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Roger, Howe, and Li Jian-Shu, eds. Harmonic analysis, group representations, automorphic forms, and invariant theory: In honor of Roger E. Howe. World Scientific, 2007.

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Book chapters on the topic "Symmetry (Mathematics) Spinor analysis"

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Nhangumbe, Clarinda, Ebrahim Fredericks, and Betuel Canhanga. "Lie Symmetry Analysis on Pricing Weather Derivatives by Partial Differential Equations." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_37.

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Charalambous, Kyriakos, and Christodoulos Sophocleous. "Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2715-5_19.

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Conference papers on the topic "Symmetry (Mathematics) Spinor analysis"

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Cicogna, Giampaolo. "Symmetry properties and reduction procedures for ODE's." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756406.

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Brugnano, L., D. Trigiante, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Time Reversal Symmetry and Energy Drift in Conservative Systems." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790218.

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Torrisi, Mariano, Rita Tracinà, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Symmetry Methods for a Geophysical Mass Flow Model." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637879.

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Borisovich, Andrei, Hanna Treder, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Symmetry-Breaking Bifurcations for Free Elastic Shell of Biological Cluster." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790274.

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Bruzón, M. S., M. L. Gandarias, J. C. Camacho, and J. Ramírez. "Symmetry reductions for a generalized Dullin-Gottwald-Holm equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756410.

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Faustino, Nelson. "Symmetry preserving discretization schemes through hypercomplex variables." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043648.

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Duller, Christine, and Dominik Vorhauer. "Comparison of four nonparametric tests of symmetry." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026685.

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Gandarias, Maria Luz, Maria Santos Bruzón, Mariano Torrisi, and Rita Tracinà. "Preface of the “Mini symposium on symmetry methods and applications for differential equations”." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756405.

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Gandarias, M. L., and M. Rosa. "Symmetry analysis of a generalized Fisher equation." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912650.

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Itoh, Toshiaki, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Algebraic Construction of Exact Difference Equations from Symmetry of Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241440.

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