Generalized Long-Moody representations of braid groups

2008/07/18 by Stephen Bigelow, Bigelow, Stephen, Jianjun Paul Tian +1 · 1 citation
Mathematics · #20F36 (Primary) 20C15 #57M27 (Secondary) #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:20C15 #msc:20F36 #msc:57M27

paper · pdf · doi:10.48550/arxiv.0807.2881

8 pages, no figures

arxiv created 2008/07/18 · openalex publication_date 2008/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Hecke algebra representations from the Katz-Long-Moody construction

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