Weight multiplicity formulas for bivariate representations of classical Lie algebras
Representation Theory
2018-09-14 v2
Abstract
A bivariate representation of a complex simple Lie algebra is an irreducible representation having highest weight a combination of the first two fundamental weights. For a complex classical Lie algebra, we establish an expression for the weight multiplicities of bivariate representations.
Keywords
Cite
@article{arxiv.1708.07905,
title = {Weight multiplicity formulas for bivariate representations of classical Lie algebras},
author = {Emilio A. Lauret and Fiorela Rossi Bertone},
journal= {arXiv preprint arXiv:1708.07905},
year = {2018}
}