Green functions associated to complex reflection groups, II

Details Green functions associated to complex reflection groups, II Green functions associated to complex reflection groups, II

2001-05-08

arxiv.org/abs/math/0105053v1

Mathematics

Representation Theory

33pages

Scientific paper

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.

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