Normal form for the walled Brauer algebra: construction and applications
Representation Theory
2020-01-01 v1 Mathematical Physics
math.MP
Abstract
We construct a normal form for the walled Brauer algebra, together with the reduction algorithm. We apply normal form to calculate the numbers of monomials in generators with minimal length. We further utilize normal form to give explicit expressions for a generating set and annihilator ideal of a particular cyclic vector in a cell module.
Cite
@article{arxiv.1912.12869,
title = {Normal form for the walled Brauer algebra: construction and applications},
author = {D. Bulgakova and Y. Goncharov and O. Ogievetsky},
journal= {arXiv preprint arXiv:1912.12869},
year = {2020}
}