Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
Mathematical Physics
2017-09-13 v1 math.MP
Abstract
In this paper fundamental Wigner coefficients are determined algebraically by considering the eigenvalues of certain generalized Casimir invariants. Here this method is applied in the context of both type 1 and type 2 unitary representations of the Lie superalgebra gl(mjn). Extensions to the non-unitary case are investigated. A symmetry relation between two classes of Wigner coefficients is given in terms of a ratio of dimensions.
Keywords
Cite
@article{arxiv.1705.05956,
title = {Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond},
author = {Jason L. Werry and Phillip S. Isaac and Mark D. Gould},
journal= {arXiv preprint arXiv:1705.05956},
year = {2017}
}
Comments
17 pages