Determination of the representations and a basis for the YokonumaTemperleyLieb algebra
Abstract
We determine the representations of the YokonumaTemperleyLieb algebra, which is defined as a quotient of the YokonumaHecke algebra by generalising the construction of the classical TemperleyLieb algebra. We then deduce the dimension of this algebra, and produce an explicit basis for it.
 Publication:

arXiv eprints
 Pub Date:
 November 2013
 arXiv:
 arXiv:1311.5626
 Bibcode:
 2013arXiv1311.5626C
 Keywords:

 Mathematics  Representation Theory
 EPrint:
 21 pages, Expanded introduction, Contains the results of previous arXiv:1302.7101