Details

Irreducibility of the Lawrence-Krammer representation of the BMW algebra of type An-1

by Levaillant, Claire Isabelle

Abstract (Summary)
We show that the Lawrence-Krammer representation of the BMW algebra of type An-1 over the field Q(l,r) is generically irreducible, but that for some values of the parameters l and r, when these are specialized in the field of complex numbers, it becomes reducible. When the representation is reducible, we describe the invariant subspaces by giving their dimension and some spanning vectors.
Bibliographical Information:

Advisor:Cheng Yeaw Ku; Dinakar Ramakrishnan; Richard Wilson; David B. Wales

School:California Institute of Technology

School Location:USA - California

Source Type:Master's Thesis

Keywords:mathematics

ISBN:

Date of Publication:05/01/2008

© 2009 OpenThesis.org. All Rights Reserved.