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Green functions associated to complex reflection groups, II
- 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