Braid group representations associated with slm

Ruth J. Lawrence*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

It has been seen elsewhere how elementary topology may be used to construct representations of the Iwahori-Hecke algebra associated with two-row Young diagrams, and how these constructions are related to the production of the same representations from the monodromy of n-point correlation functions in the work of Tsuchiya & Kanie and to the construction of the one-variable Jones polynomial. This paper investigates the extension of these results to representations associated with arbitrary multi-row Young diagrams and a functorial description of the two-variable Jones polynomial of links in S3.

Original languageAmerican English
Pages (from-to)637-660
Number of pages24
JournalJournal of Knot Theory and its Ramifications
Volume5
Issue number5
DOIs
StatePublished - Oct 1996
Externally publishedYes

Keywords

  • Braid representations
  • Configuration spaces
  • Homological constructions
  • Jones polynomial
  • Knizhnik-Zamolodchikov equation
  • Local coefficient systems

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