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Differential-Difference Operators Associated to Reflection Groups

✍ Scribed by Charles F. Dunkl


Book ID
121526033
Publisher
American Mathematical Society
Year
1989
Tongue
English
Weight
932 KB
Volume
311
Category
Article
ISSN
0002-9947

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πŸ“œ SIMILAR VOLUMES


Macdonald functions associated to comple
✍ Toshiaki Shoji πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 218 KB

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

Green Functions Associated to Complex Re
✍ Toshiaki Shoji πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 314 KB

Green functions of classical groups are determined by the data from Weyl groups and by certain combinatorial objects called symbols. Generalizing this, we Ž . define Green functions associated to complex reflection groups G e, 1, n and study their combinatorial properties. We construct Hall᎐Littlewo

Green functions associated to complex re
✍ Toshiaki Shoji πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 319 KB

Green functions associated to complex reflection groups G(e, 1, n) were discussed in the author's previous paper. In this paper, we consider the case of complex reflection groups W = G(e, p, n). Schur functions and Hall-Littlewood functions associated to W are introduced, and Green functions are des