On the generating function of weight multiplicities for the representations of the Lie algebra C₂

2014/05/12 by José Fernández Nuñez, Wifredo García Fuertes, Askold M. Perelomov
Mathematics · Physics and Astronomy · #math-ph #math.MP

paper · pdf · doi:10.1063/1.4917054

arXiv admin note: text overlap with arXiv:1304.7203

arxiv created 2014/05/12 · arxiv updated 2016/03/27

Abstract

We use the generating function of the characters of C₂ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recurrence relations among the multiplicities and a simple graphical recipe to compute them.

Citations

• On an approach for computing the generating functions of the characters of simple Lie algebras