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