%0 Journal Article
%T Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
%A Mark D. Gould
%A Phillip S. Isaac
%A Jason L. Werry
%J Mathematics
%D 2012
%I arXiv
%R 10.1063/1.4773573
%X 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.
%U http://arxiv.org/abs/1211.2857v1