Published January 2009
| Version Submitted
Journal Article
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Irreducibility of the Lawrence–Krammer representation of the BMW algebra of type A_(n−1)
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Abstract
The Lawrence–Krammer representation introduced by Lawrence and Krammer in order to show the linearity of the braid group is generically irreducible.We show this fact and show further that for some values of its two parameters, when these are specialized to complex numbers, the representation becomes reducible. We describe what these values are and give a complete description of the dimensions of the invariant subspaces when the representation is reducible.
Additional Information
© 2008 Académie des sciences. Published by Elsevier Masson SAS. Received 26 June 2008; accepted 12 November 2008. Available online 16 December 2008. This work is part of the author's PhD thesis at Caltech under the direction of Professor David B. Wales.Attached Files
Submitted - 0901.3908.pdf
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Identifiers
- Eprint ID
- 15740
- Resolver ID
- CaltechAUTHORS:20090910-141650954
Related works
- Describes
- https://arxiv.org/abs/0901.3908 (URL)
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2009-10-02Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field