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Algebra Seminar
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Jian-yi Shi
University of Sydney/Beijing Normal University

Certain complex reflection groups and their generic versions

Friday 16th, May 12:05-12:55pm, Stephen Roberts.

The talk includes some recent results on certain complex reflection groups. This includes the relation between the imprimitive complex reflection groups G(m,m,n), G(m,1,n) and the (extended) affine Weyl groups G0(x,n), G(x,n) of type Ân-1, the relation between the corresponding Hecke algebras. We introduce some new presentations of these groups and some applications. We also give a characterization of Coxeter groups among all the irreducible finite reflection groups of rank greater than one.