Generating functions for G2 characters and subgroup branching rules

DOI10.1063/1.525178zbMath0485.22020OpenAlexW2034111796MaRDI QIDQ3944791

R. W. Gaskell, R. T. Sharp

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525178

zbMATH Keywords

charactergenerating functionbranching rulesexceptional Lie algebraweight multiplicitiesmaximal semi-simple subalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46)

Related Items (10)

Four types of special functions ofG₂and their discretization ⋮ On some combinatorial sequences associated to invariant theory ⋮ The matrix representations of g2. I. Representations in an so(4) basis ⋮ The Demazure–Tits subgroup of a simple Lie group ⋮ Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2 ⋮ LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂ ⋮ G 2 van der Waerden invariant ⋮ Generating functions for IR multiplicities ⋮ Branching rules obtained from explicit correspondences of automorphic representations ⋮ Finite subgroup bases for compact Lie groups

Cites Work

• The character generator of SU(n)
• Reduction of enveloping algebras of low-rank groups
• On a new relation between semisimple Lie algebras
• Generating functions for polynomial irreducible tensors
• Internal-Labeling Problem
• Semisimple Subgroups of Semisimple Groups
• Theory of Complex Spectra. IV

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