A note on representations of welded braid groups

Bellingeri, P. and Soulie, A. (2020) A note on representations of welded braid groups. Journal of Knot Theory and Its Ramifications, 29(12), 2050082. (doi: 10.1142/s0218216520500820)

Abstract

In this paper, we adapt the procedure of the Long-Moody procedure to construct linear representations of welded braid groups. We exhibit the natural setting in this context and compute the first examples of representations we obtain thanks to this method. We take this way also the opportunity to review the few known linear representations of welded braid groups.

• Item Type: Articles
• Additional Information: The authors were partially supported by the ANR Project AlMaRe (ANR-19-CE40- 0001-01). The first author was also partially supported by the project ARTIQ (ERDF/RIN). The second author was also partially supported by the ANR Project ChroK (ANR-16-CE40-0003).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Soulie, Dr Arthur
• Authors: Bellingeri, P., and Soulie, A.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Knot Theory and Its Ramifications
• Publisher: World Scientific Publishing
• ISSN: 1793-6527
• ISSN (Online): 1793-6527
• Published Online: 23 November 2020
• Copyright Holders: Copyright © World Scientific Publishing Company
• First Published: First published in Journal of Knot Theory and Its Ramifications 29(12):2050082
• Publisher Policy: Reproduced in accordance with the publisher copyright policy