Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
Mathematical Physics
2015-06-12 v1 math.MP
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1211.2857,
title = {Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)},
author = {Mark D. Gould and Phillip S. Isaac and Jason L. Werry},
journal= {arXiv preprint arXiv:1211.2857},
year = {2015}
}
Comments
43 pages