Combinatorial Gelfand models for semisimple diagram algebras
Representation Theory
2014-03-13 v1
Abstract
We construct combinatorial (involutory) Gelfand models for the following diagram algebras in the case when they are semi-simple: Brauer algebra, its partial analogue, walled Brauer algebra, its partial analogue, Temperley-Lieb algebra, its partial analogue, walled Temperley-Lieb algebra, its partial analogue, partition algebra and its Temperley-Lieb analogue.
Cite
@article{arxiv.1301.1205,
title = {Combinatorial Gelfand models for semisimple diagram algebras},
author = {Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:1301.1205},
year = {2014}
}