Article ID Journal Published Year Pages File Type
4667871 Advances in Mathematics 2007 19 Pages PDF
Abstract

This paper deals with graded representations of the symmetric group on the cohomology ring of flags fixed by a unipotent matrix. We consider a combinatorial property, called the “coincidence of dimension” of the graded representations, and give an interpretation in terms of representation theory of the symmetric group in the case where the corresponding partition of the unipotent matrix is a hook or a rectangle. The interpretation is equivalent to a recursive formula of Green polynomials at roots of unity.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)