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Invariants and reduced matrix elements associated with the Lie superalgebra gl ( m | n )

2013; American Institute of Physics; Volume: 54; Issue: 1 Linguagem: Inglês

10.1063/1.4773573

ISSN

1527-2427

Autores

M. D. Gould, Phillip S. Isaac, Jason L. Werry,

Tópico(s)

Nonlinear Waves and Solitons

Resumo

We construct explicit formulae for the eigenvalues of certain invariants of the Lie superalgebra gl(m|n) using characteristic identities. We discuss how such eigenvalues are related to reduced Wigner coefficients and the reduced matrix elements of generators, and thus provide a first step to a new algebraic derivation of matrix element formulae for all generators of the algebra.

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