Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2

DOI10.1063/1.525618zbMath0528.22021OpenAlexW2071009386WikidataQ115332543 ScholiaQ115332543MaRDI QIDQ3310083

R. T. Sharp, Robert V. Moody, Jirí Patera

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525618

zbMATH Keywords

generating functionscompact simple Lie groupsfinite order elementscharacter generator

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Compact groups (22C05)

Related Items (13)

Four types of special functions ofG₂and their discretization ⋮ Graded contractions of sl(3,C) ⋮ The four sets of additive quantum numbers of SU(3) ⋮ Graded contractions and kinematical groups of space–time ⋮ Characters of Elements of Finite Order in Lie Groups ⋮ The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1 ⋮ Kostant's conjecture and L₂(q) invariant theory in the rank two lie groups ⋮ Polynomial icosahedral invariants ⋮ The Demazure–Tits subgroup of a simple Lie group ⋮ SL (3, C ) generator matrix elements in a Pauli subgroup basis ⋮ General charge conjugation operators in simple Lie groups ⋮ Branching rules for representations of classical Lie groups ⋮ Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)

Cites Work

• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Finite subgroup bases for compact Lie groups
• Automorphisms of finite order of semisimple Lie algebras
• Character generators for unitary and symplectic groups
• The character generator of SU(n)
• Generating functions for G2 characters and subgroup branching rules

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