Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
Mathematical Physics
2015-09-30 v1 math.MP
Representation Theory
Abstract
A procedure is described that makes use of the generating function of characters to obtain a new generating function giving the multiplicities of each weight in all the representations of a simple Lie algebra. The way to extract from explicit multiplicity formulas for particular weights is explained and the results corresponding to rank two simple Lie algebras shown.
Keywords
Cite
@article{arxiv.1506.07815,
title = {Generating functions and multiplicity formulas: the case of rank two simple Lie algebras},
author = {Jose Fernandez Nunez and Wifredo Garcia Fuertes and Askold M. Perelomov},
journal= {arXiv preprint arXiv:1506.07815},
year = {2015}
}