Macdonald functions associated to complex reflection groups

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Macdonald Functions Associated to Complex Reflection Groups

Abstract. Let W be the complex reflection group Sn ⋉ (Z/eZ) n. In the author’s previous paper [S1], Hall-Littlewood functions associated to W were introduced. In the special case where W is a Weyl group of type Bn, they are closely related to Green polynomials of finite classical groups. In this paper, we introduce a two variables version of the above Hall-Littlewood functions, as a generalizat...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2003

ISSN: 0021-8693

DOI: 10.1016/s0021-8693(02)00673-7