Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond

Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond

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(m|n). Extensions to the non-uni...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-09, Vol.50 (36), p.365202
Hauptverfasser: Werry, Jason L, Isaac, Phillip S, Gould, Mark D
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Sprache:eng
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lie superalgebras
representation theory
Wigner coefficients
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Gould, Mark D
description 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(m|n). 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.
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subjects lie superalgebras
representation theory
Wigner coefficients
title Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
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