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Green functions associated to complex reflection groups, II

Toshiaki Shoji
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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.

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Toshiaki Shoji. 2001-05-08. Green functions associated to complex reflection groups, II. https://doi.org/10.1142/9789812810007_0012

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