Coxeter classes of unitary reflection groups
β Scribed by N. Spaltenstein
- Publisher
- Springer-Verlag
- Year
- 1995
- Tongue
- English
- Weight
- 1021 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
We consider the following class of unitary representations ? of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism {, and that the Hilbert space H(?) carries a unitary operator J such that J?=(? b {) J (i.e., selfsimilarity)
Let W be a finite Coxeter group and let F be an automorphism of W that leaves the set of generators of W invariant. We establish certain properties of elements of minimal length in the F-conjugacy classes of W that allow us to define character tables for the corresponding twisted IwahoriαHecke algeb