The periplectic Brauer algebra II: decomposition multiplicities
Representation Theory
2018-02-20 v2 Rings and Algebras
Abstract
We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful relationship with the Kazhdan-Lusztig multiplicities of the periplectic Lie superalgebra.
Keywords
Cite
@article{arxiv.1701.04606,
title = {The periplectic Brauer algebra II: decomposition multiplicities},
author = {Kevin Coulembier and Michael Ehrig},
journal= {arXiv preprint arXiv:1701.04606},
year = {2018}
}