Wednesday, November 14, 2012

1211.2857 (Mark D. Gould et al.)

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

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