Branching polytopes for classical Lie algebras over $A_{n-1}$
Representation Theory
2020-12-08 v1
Abstract
We describe the branching of Lie algebras of classical type over using an inductive approach, which was motivated by the work of Gornitskii. This allows us to label the highest weight vectors of the modules occurring in the decomposition of the restriction of a finite-dimensional simple module to by lattice points of a string or a Lusztig polytope.
Cite
@article{arxiv.2012.02883,
title = {Branching polytopes for classical Lie algebras over $A_{n-1}$},
author = {Daniel Kalmbach},
journal= {arXiv preprint arXiv:2012.02883},
year = {2020}
}