Publication
Title
High-dimensional representations of the 3-component loop braid group
Author
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.
Language
English
Source (journal)
eprint-archive math.RA
Publication
2015
Volume/pages
(2015), p. 1-5
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
E-info
Record
Identification
Creation 21.09.2015
Last edited 01.10.2015
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