The Experts below are selected from a list of 279 Experts worldwide ranked by ideXlab platform
Pieter Van Isacker - One of the best experts on this subject based on the ideXlab platform.
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Group Theory in a nutshell for physicists
Physics Today, 2017Co-Authors: Pieter Van IsackerAbstract:In Group Theory in a Nutshell for Physicists, Anthony Zee, a physicist at the University of California, Santa Barbara, combines clarity of presentation with mathematical detail at a level of rigor acceptable to physicists. The result is a tour de force that guides readers through the universe of Group Theory and leads them to recent applications in particle physics, cosmology, and condensed matter.
Robert H. Gilman - One of the best experts on this subject based on the ideXlab platform.
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Algorithmic search in Group Theory
Journal of Algebra, 2020Co-Authors: Robert H. GilmanAbstract:Abstract A method of random search based on Kolmogorov complexity is proposed and applied to two search problems in Group Theory. Some experimental evidence as to the efficacy of the method is presented.
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Algorithmic Search in Group Theory.
arXiv: Group Theory, 2018Co-Authors: Robert H. GilmanAbstract:A method of random search based on Kolmogorov complexity is proposed and applied to two search problems in Group Theory. The method is provably effective but not practical, so the applications involve heuristic approximations. Perhaps surprisingly, these approximations seem to work. Some experimental evidence is presented.
J. A. M. Vermaseren - One of the best experts on this subject based on the ideXlab platform.
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Group Theory factors for feynman diagrams
International Journal of Modern Physics A, 1999Co-Authors: T Van Ritbergen, A N Schellekens, J. A. M. VermaserenAbstract:We present algorithms for the Group independent reduction of Group Theory factors of Feynman diagrams. We also give formulas and values for a large number of Group invariants in which the Group Theory factors are expressed. This includes formulas for various contractions of symmetric invariant tensors, formulas and algorithms for the computation of characters and generalized Dynkin indices and trace identities. Tables of all Dynkin indices for all exceptional algebras are presented, as well as all trace identities to order equal to the dual Coxeter number. Further results are available through efficient computer algorithms.
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Group Theory factors for Feynman diagrams
International Journal of Modern Physics A, 1999Co-Authors: T. Van Ritbergen, A N Schellekens, J. A. M. VermaserenAbstract:We present algorithms for the Group independent reduction of Group Theory factors of Feynman diagrams. We also give formulas and values for a large number of Group invariants in which the Group Theory factors are expressed. This includes formulas for various contractions of symmetric invariant tensors, formulas and algorithms for the computation of characters and generalized Dynkin indices and trace identities. Tables of all Dynkin indices for all exceptional algebras are presented, as well as all trace identities to order equal to the dual Coxeter number. Further results are available through efficient computer algorithms (see this http URL and this http URL ).
Enric Ventura - One of the best experts on this subject based on the ideXlab platform.
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Geometric Methods in Group Theory - Geometric Methods in Group Theory
Contemporary Mathematics, 2005Co-Authors: José Burillo, Sean Cleary, Murray Elder, Jennifer Taback, Enric VenturaAbstract:This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in Group Theory.
Shu Hotta - One of the best experts on this subject based on the ideXlab platform.
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Introductory Group Theory
Mathematical Physical Chemistry, 2018Co-Authors: Shu HottaAbstract:A Group comprises mathematical elements that satisfy four simple definitions. A bunch of Groups exists under these simple definitions. This makes the Group Theory a discriminating field of mathematics. To get familiar with various concepts of Groups, we first show several tangible examples. Group elements can be numbers (both real and complex) and matrices.
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Applications of Group Theory to Physical Chemistry
Mathematical Physical Chemistry, 2018Co-Authors: Shu HottaAbstract:On the basis of studies of Group Theory, now in this last chapter we apply the knowledge to the molecular orbital (MO) calculations (or quantum chemical calculations).
