Location of Repository

Cabling Burau Representation

By Christian Blanchet and Ivan MARIN

Abstract

11 pagesThe Burau representation enables to define many other representations of the braid group $B_n$ by the topological operation of ``cabling braids''. We show here that these representations split into copies of the Burau representation itself and of a representation of $B_n/(P_n,P_n)$. In particular, we show that there is no gain in terms of faithfulness by cabling the Burau representation

Topics: [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]
Publisher: HAL CCSD
Year: 2007
OAI identifier: oai:HAL:hal-00123496v1
Provided by: Hal-Diderot
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://hal.archives-ouvertes.... (external link)
  • https://hal.archives-ouvertes.... (external link)
  • https://hal.archives-ouvertes.... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.