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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 162–178
(Mi znsl5201)
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This article is cited in 1 scientific paper (total in 1 paper)
Fan, splint, and branching rules
V. D. Lyakhovskya, A. A. Nazarovb a Department of High-Energy and Elementary Particle Physics, SPb State University, St. Petersburg, Russia
b Department of Mathematics and Mechanics, SPb State University, Chebyshev Laboratory, St. Petersburg, Russia
Abstract:
Splint of root system for simple Lie algebra appears naturally in studies of (regular) embeddings of reductive subalgebras. Splint can be used to construct branching rules. We demonstrate that splint properties implementation drastically simplify calculations of branching coefficients.
Key words and phrases:
Lie algebras, representation theory, root systems, branching rules.
Received: 15.10.2011
Citation:
V. D. Lyakhovsky, A. A. Nazarov, “Fan, splint, and branching rules”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 162–178; J. Math. Sci. (N. Y.), 192:1 (2013), 91–100
Linking options:
https://www.mathnet.ru/eng/znsl5201 https://www.mathnet.ru/eng/znsl/v398/p162
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Abstract page: | 189 | Full-text PDF : | 48 | References: | 36 |
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