Harish-Chandra S-homomorphism and \({\mathfrak G}\)-modules generated by a semiprimitive element

DOI10.1007/BF01099221zbMath0717.17010MaRDI QIDQ753930

Yuriy A. Drozd, Vyacheslav M. Futorny, Sergiy Ovsienko

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

complex semisimple Lie algebraHarish-Chandra S- homomorphismsemiprimitive element

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\) ⋮ Verma modules over \(p\)-adic Arens-Michael envelopes of reductive Lie algebras ⋮ Categorification of (induced) cell modules and the rough structure of generalised Verma modules ⋮ Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module ⋮ Generalized Verma modules induced from \(sl(2,\mathbb{C})\) and associated Verma modules ⋮ Highest weight categories of Lie algebra modules

Cites Work

• Poisson brackets associated with the classical Yang-Baxter equation

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