Standard tableaux and Klyachko's theorem on Lie representations

DOI10.1016/j.jcta.2006.02.002zbMath1227.05266OpenAlexW1987325794MaRDI QIDQ857421

Marianne Johnson

Publication date: 14 December 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.02.002

zbMATH Keywords

free Lie algebrastandard tableauLie representation

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Identities, free Lie (super)algebras (17B01)

Related Items (3)

Diophantine properties of nilpotent Lie groups ⋮ On the existence of tableaux with given modular major index ⋮ L. G. KOVÁCS’ WORK ON LIE POWERS

Cites Work

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• Lie elements in the tensor algebra
• Embeddings of higher Lie modules.
• Cyclic characters of symmetric groups
• A combinatorial proof of Klyachko's theorem on Lie representations.

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