Permutation resolutions for Specht modules of Hecke algebras.
From MaRDI portal
Publication:1939320
DOI10.1016/j.jalgebra.2012.05.005zbMath1280.20004arXiv1203.5751OpenAlexW2963166348MaRDI QIDQ1939320
Publication date: 4 March 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.5751
partitionsSpecht modulessymmetric groupsYoung subgroupspermutation modulesIwahori-Hecke algebrasresolutionschain complexes
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Chain complexes (category-theoretic aspects), dg categories (18G35)
Related Items
Cites Work
- Permutation resolutions for Specht modules.
- Characteristic-free resolutions of Weyl and Specht modules.
- Characteristic-free representation theory of the general linear group
- Finite resolutions of modules for reductive algebraic groups
- Resolutions, dual pairs, and character formulas
- On complexes relating the Jacobi-Trudy identity with the Bernstein- Gelfand-Gelfand resolution
- The Schur algebra \(S(B^ +)\) and projective resolutions of Weyl modules
- A vanishing theorem for Schur modules
- Resolutions of \(B\) modules
- Characteristic-free representation theory of the general linear group. II: Homological considerations
- On projective resolutions of simple modules over the Borel subalgebra \(S^+(n,r)\) of the Schur algebra \(S(n,r)\) for \(n\leqslant 3\).
- Representations of Hecke Algebras of General Linear Groups
- Borel schur algebras
