Schubert filtration for simple quotients of generalized Verma modules

DOI10.1007/BF02384322zbMath1021.17009OpenAlexW2085368034MaRDI QIDQ1810318

Volodymyr Mazorchuk, Alexandre Khomenko

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384322

zbMATH Keywords

Verma modulesSchubert filtration

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

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• Schubert varieties and Demazure's character formula
• Submodule structure of generalized Verma modules induced from generic Gelfand-Zetlin modules
• BGG-resolution for \(\alpha\)-stratified modules over simply-laced finite-dimensional Lie algebras
• On quantum methods in the representation theory of reductive Lie algebras
• On the structure of an \(\alpha\)-stratified generalized Verma module over Lie algebra \(sl(n, \mathbb{C})\)
• Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I
• Classification of irreducible weight modules

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