Title
High-dimensional representations of the 3-component loop braid group High-dimensional representations of the 3-component loop braid group
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
eprint-archive math.RA
Volume/pages
(2015) , p. 1-5
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
In a recent paper here arXiv:1508.0005 it is shown that irreducible representations of the three string braid group B3 of dimensions ≤5 extend to representations of the 3-component loop braid group LB3. Further, an explicit 6-dimensional irreducible B3-representation is given that does not extend. In this note we give a necessary and sufficient condition on the components of irreducible B3-representations, in arbitrary dimensions, such that sufficiently general representations in that component do extend to LB3.
E-info
https://repository.uantwerpen.be/docman/iruaauth/abe8e1/dee0f88053d.pdf
http://arxiv.org/abs/1508.00871
Handle