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