English

Multi-switches and representations of braid groups

Group Theory 2019-07-23 v1 Algebraic Topology

Abstract

In the paper, we introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach on how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary, we introduce new representations of virtual braid groups which generalize several previously known representations.

Keywords

Cite

@article{arxiv.1907.09230,
  title  = {Multi-switches and representations of braid groups},
  author = {Valeriy Bardakov and Timur Nasybullov},
  journal= {arXiv preprint arXiv:1907.09230},
  year   = {2019}
}

Comments

24 pages

R2 v1 2026-06-23T10:26:58.093Z