Zobrazeno 1 - 10 of 307 pro vyhledávání: '"Representation theory of the Poincaré group"'
1
Fundamental Groups of Semisimple Symmetric Spaces
Autor: Jiro Sekiguchi
Publikováno v: Representations of Lie Groups, Kyoto, Hiroshima, 1986, K. Okamoto and T. Oshima, eds. (Tokyo: Mathematical Society of Japan, 1988)
The aim of this report is to determine the fundamental group of an arbitrary irreducible semisimple symmetric space $G/H$ when $G$ is a connected semisimple Lie group with trivial center. The fundamental group $\pi_1(G/H)$ is well-known if $G/H$ is R
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https://doi.org/10.2969/aspm/01410519
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4
Appendix on Number Theory and Group Theory
Autor: Maurice R. Kibler
This chapter deals with some basic elements of number theory and group theory of interest for the four preceding chapters. We limit ourselves to a listing of definitions and classical results as well as examples. The theorems and properties are gener
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https://doi.org/10.1016/b978-1-78548-235-9.50005-1
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6
The Quantum Free Particle as a Representation of the Euclidean Group
Autor: Peter Woit
Publikováno v: Quantum Theory, Groups and Representations ISBN: 9783319646107
The quantum theory of a free particle is intimately connected to the representation theory of the group of symmetries of space and time. This is well known for relativistic theories, where it is the representation theory of the Poincare group that is
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https://doi.org/10.1007/978-3-319-64612-1_19
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7
Representation theory and homological stability
Autor: Thomas Church, Benson Farb
Publikováno v: Advances in Mathematics. 245:250-314
We introduce the idea of *representation stability* (and several variations) for a sequence of representations V_n of groups G_n. A central application of the new viewpoint we introduce here is the importation of representation theory into the study
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https://doi.org/10.1016/j.aim.2013.06.016
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9
Distinguished tame supercuspidal representations and odd orthogonal periods
Autor: Jeffrey Hakim, Joshua M. Lansky
Publikováno v: Representation Theory of the American Mathematical Society. 16:276-316
We further develop and simplify the general theory of distinguished tame supercuspidal representations of reductive p p -adic groups due to Hakim and Murnaghan, as well as the analogous theory for finite reductive groups due to Lusztig. We apply our
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https://doi.org/10.1090/s1088-4165-2012-00418-6
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10
Invariant operators of four-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4)
Autor: Vasyl Fedorchuk, V. I. Fedorchuk
Publikováno v: Journal of Mathematical Sciences. 181:305-319
The classification of four-dimensional nonconjugate subalgebras of the Lie algebra of the Poincare group P(1, 4) into classes of isomorphic subalgebras is performed. Using this classification, we construct invariant operators (generalized Casimir ope
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https://doi.org/10.1007/s10958-012-0686-6
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