Title
Dense families of <tex>$B_{3}$</tex>-representations and braid reversion Dense families of <tex>$B_{3}$</tex>-representations and braid reversion
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Volume/pages
215(2011) :5 , p. 1003-1014
ISSN
0022-4049
ISI
000286648900021
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We prove that all components of n-dimensional simple representations of the three string braid group B3 are densely parametrized by rational quiver varieties and give explicit parametrizations for n<12. As an application we show that there is a unique component of 6-dimensional simple B3-representations detecting braid reversion.
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