Volume 10, issue 4 (2010)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Braids inside the Birman–Wenzl–Murakami algebra

Ivan Marin

Algebraic & Geometric Topology 10 (2010) 1865–1886
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