Dept. Math, Hokkaido Univ. EPrints Server

Green polynomials at roots of unity and its application

Preprint Series # 739
Morita, Hideaki Green polynomials at roots of unity and its application. (2005);

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Abstract

We consider Green polynomials at roots of unity. We obtain a recursive formula for Green polynomials at appropriate roots of unity, which is described in a combinatorial manner. The coefficients of the recursive formula are realized by the number of permutations satisfying a certain condition, which leads to interpretation of a combinatorial property of certain graded modules of the symmetric group in terms of representation theory.

Item Type:Preprint
Additional Information:60
Uncontrolled Keywords:symmetric group, Green polynomial, Springer representation, root of unity, enumeration of permutation
Subjects:20-xx GROUP THEORY AND GENERALIZATIONS
13-xx COMMUTATIVE RINGS AND ALGEBRAS
05-xx COMBINATORICS
ID Code:1042