Decomposition of Green polynomials of type $A$ and DeConciniProcesiTanisaki algebras of certain types
Preprint Series # 695 Morita, Hideaki Decomposition of Green polynomials of type $A$ and DeConciniProcesiTanisaki algebras of certain types. (2005); AbstractA class of graded representations of the symmetric group,
concerning with the cohomology ring of the corresponding flag variety,
are considered.
We point out a certain combinatorial property of the Poincar\'e
polynomial of these graded representations,
and interpret it in the language of representation theory
of the symmetric group.
