INVESTIGADORES
CAGLIERO Leandro Roberto
artículos
Título:
A closed formula for weight multiplicities of representations of $\text{Sp}(\Bbb C)$.
Autor/es:
L CAGLIERO; P. TIRAO
Revista:
MANUSCRIPTA MATHEMATICA
Editorial:
Springer - Verlag
Referencias:
Lugar: Berlin; Año: 2004 vol. 115 p. 417 - 426
ISSN:
0025-2611
Resumen:
The authors present a very explicit closed formula for the weight multiplicities of a complex finite-dimensional irreducible representation of the simple Lie group $ ext{Sp}_2(Bbb{C})$. The proof relies on the Howe duality theorem and an explicit decomposition of the tensor product of fundamental representations of $ ext{Sp}_2(Bbb{C})$.