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Green polynomials at roots of unity and its application
Title: | Green polynomials at roots of unity and its application |
Authors: | Morita, Hideaki Browse this author |
Issue Date: | 2005 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 739 |
Start Page: | 1 |
End Page: | 21 |
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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69547 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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