Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis

DOI10.1090/ert/553OpenAlexW3096210187MaRDI QIDQ5131258

Ming Fang, Kay Jin Lim, Kai Meng Tan

Publication date: 5 November 2020

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13040

zbMATH Keywords

Jantzen filtrationYoung symmetrizerYoung's seminormal basis

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (2)

On the denominators of Young's seminormal basis ⋮ Young's seminormal basis vectors and their denominators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Carter-Payne homomorphisms and Jantzen filtrations.
• Jantzen's filtrations of Weyl modules
• Polynomial representations of \(GL_n\)
• Schur functors and Schur complexes
• On the representation theory of the symmetric groups and associated Hecke algebras
• The representation theory of the symmetric groups
• Irreducible modules of quantized enveloping algebras at roots of 1
• Products of Young symmetrizers and ideals in the generic tensor algebra
• On signed Young permutation modules and signed \(p\)-Kostka numbers
• Young's seminormal form and simple modules for \(S_n\) in characteristic \(p\)
• Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration
• Filtrations of cohomology modules for Chevalley groups
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• On Translation Functors for General Linear and Symmetric Groups
• Specht Filtrations for Hecke Algebras of Type A
• Projective resolutions of representations of GL (n).

This page was built for publication: Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis