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Green functions associated to complex reflection groups, II

Authors :
Toshiaki Shoji
Source :
Journal of Algebra. 258:563-598
Publication Year :
2002
Publisher :
Elsevier BV, 2002.

Abstract

In our previous paper, Green functions associated to complex reflection groups G(e,1,n) were discussed. It involved a combinatorial approach to the Green functions of classical groups of type B_n or C_n. In this paper, we introduce Green functions associated to complex reflection groups G(e,p,n). We define Schur functions, Hall-Littlewood functions associated to G(e,p,n), and show that our Green functions are obtained as a transition matrix between those two kinds of symmetric functions. As a special case, it gives a combinatorial treatmnet of Green functions of type D_n.<br />Comment: 33pages

Details

ISSN :
00218693
Volume :
258
Database :
OpenAIRE
Journal :
Journal of Algebra
Accession number :
edsair.doi.dedup.....8235b1330a1ddd0a05def82651af3dc7
Full Text :
https://doi.org/10.1016/s0021-8693(02)00643-9