Verma bases for representations of classical simple Lie algebras

DOI10.1063/1.527222zbMath0586.17007OpenAlexW2093360687MaRDI QIDQ3712462

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527222

zbMATH Keywords

irreducible representationssimple Lie algebrasDemazure character formulaVerma basisconstruction of basis statesrank 2 Kac-Moody algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie groups to the sciences; explicit representations (22E70) Simple, semisimple, reductive (super)algebras (17B20)

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Cites Work

• General charge conjugation operators in simple Lie groups
• On the Representations of the Semisimple Lie Groups. II