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Macdonald Functions Associated to Complex Reflection Groups by Toshiaki Shoji is a Mathematics article available to read on EtoBox.
What is Macdonald Functions Associated to Complex Reflection Groups about?
Let W be the complex reflection group S n (Z/eZ) n . In the author's previous paper [J. Algebra 245 (2001) 650-694], Hall-Littlewood functions associated to W were introduced. In the special case where W is a Weyl group of type B n , 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 generalization of Macdonald functions associated to symmetric groups. A generalization of Macdonald operators is also constructed, and we characterize such functions by making use of Macdonald operators, assuming a certain conjecture.
Who reads Macdonald Functions Associated to Complex Reflection Groups?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Toshiaki Shoji
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)