English

Generalized Long-Moody representations of braid groups

Geometric Topology 2008-07-21 v1

Abstract

Long and Moody gave a method of constructing representations of the braid group B_n. We discuss some ways to generalize their construction. One of these gives representations of subgroups of B_n, including the Gassner representation of the pure braid group as a special case. Another gives representations of the Hecke algebra.

Keywords

Cite

@article{arxiv.0807.2881,
  title  = {Generalized Long-Moody representations of braid groups},
  author = {Stephen Bigelow and Jianjun Paul Tian},
  journal= {arXiv preprint arXiv:0807.2881},
  year   = {2008}
}

Comments

8 pages, no figures

R2 v1 2026-06-21T11:01:58.160Z