The Demazure–Tits subgroup of a simple Lie group

DOI10.1063/1.527971zbMath0661.22007OpenAlexW2057690406WikidataQ115331993 ScholiaQ115331993MaRDI QIDQ3810027

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527971

zbMATH Keywords

conjugacy classesCartan matrixWeyl grouporbitsLie algebragenerating functionirreducible representationscharacter tablessimple Lie groupClebsch-Gordan coefficientselements of finite orderDemazure-Tits subgroup

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

Related Items (5)

Fine gradings of o(5, C), sp(4, C) and of their real forms ⋮ Can one see the signs of structure constants? ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Cartan-preserving automorphisms of untwisted and twisted Kac–Moody algebras ⋮ A third look at weight diagrams

Cites Work

• Normalisateurs de tores. I: Groupes de Coxeter etendus
• Characters of Elements of Finite Order in Lie Groups
• Clebsch–Gordan coefficients for E6 and SO(10) unification models
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• Clebsch–Gordan coefficients for SU(5)⊇SU(3)×SU(2)×U(1) theories
• The state labeling problem—A universal solution
• Polynomial irreducible tensors for point groups
• Generating functions for G2 characters and subgroup branching rules
• Fast recursion formula for weight multiplicities
• Clebsch–Gordan coefficients for SU(5) unification models
• General charge conjugation operators in simple Lie groups
• Internal-Labeling Problem

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