Citation
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
Abstract
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.
Item Type: | Thesis (Dissertation (Ph.D.)) |
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Subject Keywords: | BMW algebras; representation theory |
Degree Grantor: | California Institute of Technology |
Division: | Physics, Mathematics and Astronomy |
Major Option: | Mathematics |
Thesis Availability: | Public (worldwide access) |
Research Advisor(s): |
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Thesis Committee: |
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Defense Date: | 1 May 2008 |
Non-Caltech Author Email: | clairelevaillant (AT) yahoo.fr |
Record Number: | CaltechETD:etd-05292008-110016 |
Persistent URL: | https://resolver.caltech.edu/CaltechETD:etd-05292008-110016 |
DOI: | 10.7907/2PFP-HG33 |
Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
ID Code: | 2255 |
Collection: | CaltechTHESIS |
Deposited By: | Imported from ETD-db |
Deposited On: | 30 Jul 2008 |
Last Modified: | 03 Dec 2019 22:30 |
Thesis Files
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PDF (thesis.pdf)
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