Constructive modules and extremal projectors over Chevalley algebras

DOI10.1007/BF01087533zbMath0806.17022MaRDI QIDQ1326926

D. P. Zhelobenko

Publication date: 13 July 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

simple modulesextremal projectorssymmetrizable Chevalley algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Factorizations of relative extremal projectors, Infinite commutative product formulas for relative extremal projectors, Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras, Relative extremal projectors

Cites Work

• Extremal cocycles of Weyl groups
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Laplace operators of infinite-dimensional Lie algebras and theta functions
• S-ALGEBRAS AND HARISH-CHANDRA MODULES OVER SYMMETRIC LIE ALGEBRAS
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