Generating functions and multiplicity formulas: the case of rank two simple Lie algebras

Autor: Nunez, Jose Fernandez, Fuertes, Wifredo Garcia, Perelomov, Askold M.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/1.4930806
Popis: A procedure is described that makes use of the generating function of characters to obtain a new generating function $H$ giving the multiplicities of each weight in all the representations of a simple Lie algebra. The way to extract from $H$ explicit multiplicity formulas for particular weights is explained and the results corresponding to rank two simple Lie algebras shown.
Databáze: arXiv