کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667871 1633858 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition of Green polynomials of type A and Springer modules for hooks and rectangles
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Decomposition of Green polynomials of type A and Springer modules for hooks and rectangles
چکیده انگلیسی

This paper deals with graded representations of the symmetric group on the cohomology ring of flags fixed by a unipotent matrix. We consider a combinatorial property, called the “coincidence of dimension” of the graded representations, and give an interpretation in terms of representation theory of the symmetric group in the case where the corresponding partition of the unipotent matrix is a hook or a rectangle. The interpretation is equivalent to a recursive formula of Green polynomials at roots of unity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 210, Issue 2, 1 April 2007, Pages 479-497