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

Volume 24
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

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
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
Discrete real specializations of sesquilinear representations of the braid groups

Nancy Scherich
Algebraic & Geometric Topology 23 (2023) 2009–2028
DOI: 10.2140/agt.2023.23.2009
Abstract

Using Salem numbers, this paper gives real specializations of sesquilinear representations of the braid groups that make the images discrete groups. This method is applied to the Burau, Jones and Lawrence–Krammer representations, and some details on the commensurability of the target groups are given.

Keywords
braid groups, discrete representations of the braid groups, Burau representation, Jones representations, Lawrence–Krammer representation
Mathematical Subject Classification 2010
Primary: 20C08, 57M99
References
Publication
Received: 13 October 2019
Revised: 3 December 2021
Accepted: 16 December 2021
Published: 25 July 2023
Authors
Nancy Scherich
ICERM
Brown University
Providence, RI
United States
© 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

Open Access made possible by participating institutions via Subscribe to Open.