A Specht Filtration of Permutation Modules Over KLR Algebras
Representation Theory
2025-06-19 v1
Abstract
In type A, Kleshchev-Ram-Mathas realize Specht modules as quotient of Permutation modules, in this paper, we construct a Specht filtration of Permutation modules indexed by hook partition in affine type A; and construct a generalized Specht filtration of Permutation modules indexed by any partition in linear quiver case.
Cite
@article{arxiv.2506.15133,
title = {A Specht Filtration of Permutation Modules Over KLR Algebras},
author = {Tao Qin},
journal= {arXiv preprint arXiv:2506.15133},
year = {2025}
}
Comments
24 pages, comments welcome