A Specht Filtration of Permutation Modules Over KLR Algebras
arXiv:2506.15133
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.
26 pages, many typos corrected, comments welcome