Complex Reflection Groups and Fake Degrees
Representation Theory
2007-05-23 v1 Rings and Algebras
Abstract
In this paper we study the Hecke algebra associated with a complex reflection group W. We discuss some properties of the Galois group of the splitting field of this algebra, and study its action on the so-called fake degrees of W. The methods we use to study the Hecke algebra are based on the construction of representations of this algebra as monodromy of equations of Knizhnik-Zamolodchikov type.
Keywords
Cite
@article{arxiv.math/9808026,
title = {Complex Reflection Groups and Fake Degrees},
author = {Eric M. Opdam},
journal= {arXiv preprint arXiv:math/9808026},
year = {2007}
}
Comments
27 pages, no figures. These notes were prepared by K Taniguchi on the bases of two lectures that were presented by the author at RIMS, Kyoto university (Japan) in the fall of 1997. The files are in latex format