Green functions associated to complex reflection groups, II
Representation Theory
2017-08-23 v1
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.
Keywords
Cite
@article{arxiv.math/0105053,
title = {Green functions associated to complex reflection groups, II},
author = {Toshiaki Shoji},
journal= {arXiv preprint arXiv:math/0105053},
year = {2017}
}
Comments
33pages