Extensions of modules over Schur algebras, symmetric groups and Hecke algebras.

DOI10.1023/B:ALGE.0000019454.27331.59zbMath1084.20004OpenAlexW2042175345MaRDI QIDQ1770885

Daniel K. Nakano, Karin Erdmann, Stephen R. Doty

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1023/b:alge.0000019454.27331.59

zbMATH Keywords

Hecke algebrasSchur algebrassymmetric groupsfinite-dimensional algebrasextensionscohomologyspectral sequencescategories of modulesquasi-hereditary algebrascomposition factor multiplicitiesderived functorsSchur functorsYoung modulesquantum general linear groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Modular representations and characters (20C20) Cohomology of groups (20J06) Homological methods in group theory (20J05) Representations of associative Artinian rings (16G10) Cohomology theory for linear algebraic groups (20G10)

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