Dept. Math, Hokkaido Univ. EPrints Server

Decomposition of Green polynomials of type $A$ and DeConcini-Procesi-Tanisaki algebras of certain types

Preprint Series # 695
Morita, Hideaki Decomposition of Green polynomials of type $A$ and DeConcini-Procesi-Tanisaki algebras of certain types. (2005);

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Abstract

A 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.

Item Type:Preprint
Additional Information:40
Uncontrolled Keywords:symmetric group, coinvariant algebra, fixed point subvariety, Green polynomial, Kra\'skiewicz-Weyman, Springer regular element
Subjects:51-xx GEOMETRY
20-xx GROUP THEORY AND GENERALIZATIONS
13-xx COMMUTATIVE RINGS AND ALGEBRAS
05-xx COMBINATORICS
ID Code:863