Geometrical classification scheme for weights of Lie algebras

DOI10.1063/1.527870zbMath0668.17007OpenAlexW2042432344MaRDI QIDQ3820756

Richard H. Capps

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527870

zbMATH Keywords

reflectionsWeyl chambersweights of Lie algebradepth of weight

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

• Characters of Elements of Finite Order in Lie Groups
• Extension and replacement bases for semisimple Lie algebras
• Representations of E8 and other algebras
• Natural labelling schemes for simple roots and irreducible representations of exceptional Lie algebras
• Fast recursion formula for weight multiplicities

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