Complex Reflection Groups and Fake Degrees

Details Complex Reflection Groups and Fake Degrees Complex Reflection Groups and Fake Degrees

1998-08-05

arxiv.org/abs/math/9808026v1

Mathematics

Representation Theory

27 pages, no figures. These notes were prepared by K Taniguchi on the bases of two lectures that were presented by the author

Scientific paper

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.

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