28 citations · 383 across the 40 of their papers we have counts for
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math-ph2014★ 6 cited
Characteristic identities for Lie (super)algebras
Phillip S. Isaac, Jason L. Werry, Mark D. Gould
We present an overview of characteristic identities for Lie algebras and superalgebras. We outline methods that employ these characteristic identities to deduce matrix elements of…
math-ph2014★ 4 cited
Reduced matrix elements of the orthosymplectic Lie superalgebra
Mark D. Gould, Phillip S. Isaac
We utilise characteristic identities to construct eigenvalue formulae for invariants and reduced matrix elements corresponding to irreducible representations of osp(m|n). In presen…
math-ph2014★ 23 cited
On realizations of polynomial algebras with three generators via deformed oscillator algebras
Phillip S. Isaac, Ian Marquette
We present the most general polynomial Lie algebra generated by a second order integral of motion and one of order M, construct the Casimir operator, and show how the Jacobi identi…