Generalization of Modular Lowering Operators for GLn

DOI10.1080/00927870701863389zbMath1151.20036arXivmath/0703128OpenAlexW2014136265MaRDI QIDQ3510085

Vladimir Shchigolev

Publication date: 26 June 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703128

zbMATH Keywords

general linear groupsirreducible moduleslowering operatorsbranching problemnormal weights

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (5)

Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Rectangular low level case of modular branching problem for \(\text{GL}_n(K)\). ⋮ Weyl submodules in restrictions of simple modules. ⋮ A local criterion for Weyl modules for groups of type A.

Cites Work

• On the modular representations of the general linear and symmetric groups
• Some remarks on branching rules and tensor products for algebraic groups
• Iterating lowering operators.
• Branching rules for modular representations of symmetric groups, II.
• Unnamed Item

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