کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668142 1345499 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Green polynomials at roots of unity and Springer modules for the symmetric groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Green polynomials at roots of unity and Springer modules for the symmetric groups
چکیده انگلیسی

We consider the Green polynomials at roots of unity. We obtain a recursive formula for the Green polynomials at roots of unity whose orders do not exceed some positive integer. The formula is described in a combinatorial manner. The coefficients of the recursive formula are realized by the cardinality of a set of permutations. The formula gives an interpretation of a combinatorial property on a family of graded modules for the symmetric group in terms of representation theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 212, Issue 1, 20 June 2007, Pages 277-292