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arXiv:1211.2857 [math-ph]AbstractReferencesReviewsResources

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

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

Published 2012-11-13Version 1

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.

Comments: 43 pages
Journal: J. Math. Phys. 54 (2013), 013505
Categories: math-ph, math.MP, math.RT
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