Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1

Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1

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 reducibl...

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Bibliographic Details
Main Author: Levaillant, Claire Isabelle
Format: Others
Published: 2008
Online Access:https://thesis.library.caltech.edu/2255/1/thesis.pdf
Levaillant, Claire Isabelle (2008) Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2PFP-HG33. https://resolver.caltech.edu/CaltechETD:etd-05292008-110016 <https://resolver.caltech.edu/CaltechETD:etd-05292008-110016>

Internet

https://thesis.library.caltech.edu/2255/1/thesis.pdf
Levaillant, Claire Isabelle (2008) Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2PFP-HG33. https://resolver.caltech.edu/CaltechETD:etd-05292008-110016 <https://resolver.caltech.edu/CaltechETD:etd-05292008-110016>

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