Braids inside the Birman–Wenzl–Murakami algebra

Marin, Ivan

doi:10.2140/agt.2010.10.1865

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Braids inside the Birman–Wenzl–Murakami algebra

Ivan Marin

Algebraic & Geometric Topology 10 (2010) 1865–1886

DOI: 10.2140/agt.2010.10.1865

Abstract

We determine the Zariski closure of the representations of the braid groups that factor through the Birman–Wenzl–Murakami algebra, for generic values of the parameters $α, s$ . For $α, s$ of modulus 1 and close to 1, we prove that these representations are unitarizable, thus deducing the topological closure of the image when in addition $α, s$ are algebraically independent.

Keywords

braid group, representations, Zariski closure, unitarisability, Birman–Wenzl–Murakami algebra

Mathematical Subject Classification 2000

Primary: 20F36

Secondary: 20C99

References

Publication

Received: 8 February 2010

Revised: 7 June 2010

Accepted: 21 June 2010

Published: 9 September 2010

Authors

Ivan Marin
Institut de Mathématiques de Jussieu Université Paris 7 175 rue du Chevaleret 75013 Paris France
http://www.people.math.jussieu.fr/~marin

Volume 10, issue 4 (2010)