Submodule structure of generalized Verma modules induced from generic Gelfand-Zetlin modules

DOI10.1023/A:1009929615175zbMath0908.17004MaRDI QIDQ1127783

Volodymyr Mazorchuk, Sergiy Ovsienko

Publication date: 14 March 1999

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

generalized Verma modulesWeyl group actionGelfand-Zetlin modulesspecial linear Lie algebrassubmodule structureBernstein, Gelfand, and Gelfand description

Mathematics Subject Classification ID

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

Related Items

Fibers of characters in Gelfand-Tsetlin categories, Categorification of (induced) cell modules and the rough structure of generalised Verma modules, Noetherianity and Gelfand-Kirillov dimension of components., A generalization of the category \(\mathcal O\) of Bernstein-Gelfand-Gelfand, Generalized Verma modules induced from \(sl(2,\mathbb{C})\) and associated Verma modules, Schubert filtration for simple quotients of generalized Verma modules, On the determinant of Shapovalov form for generalized Verma modules, Highest weight categories of Lie algebra modules