145 citations · 1.4k across the 82 of their papers we have counts for
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On Super RS algebra and Drinfeld Realization of Quantum Affine Superalgebras
Mark D. Gould, Yao-Zhong Zhang
We describe the realization of the super Reshetikhin-Semenov-Tian-Shansky (RS) algebra in quantum affine superalgebras, thus generalizing the approach of Frenkel-Reshetikhin to the…
The structure of quantum Lie algebras for the classical series B_l, C_l and D_l
Gustav W. Delius, Christopher Gardner, Mark D. Gould
The structure constants of quantum Lie algebras depend on a quantum deformation parameter q and they reduce to the classical structure constants of a Lie algebra at . We expla…
Quantum Lie algebras; their existence, uniqueness and -antisymmetry
Gustav W. Delius, Mark D. Gould
Quantum Lie algebras are generalizations of Lie algebras which have the quantum parameter h built into their structure. They have been defined concretely as certain submodules of t…
Twisted quantum affine algebras and solutions to the Yang-Baxter equation
Gustav W. Delius, Mark D. Gould, Yao-Zhong Zhang
We construct spectral parameter dependent R-matrices for the quantized enveloping algebras of twisted affine Lie algebras. These give new solutions to the spectral parameter depend…
Quantum Lie algebras associated to and
Gustav W. Delius, Mark D. Gould, Andreas Hüffmann +1
Quantum Lie algebras $\qlie{g}$ are non-associative algebras which are embedded into the quantized enveloping algebras of Drinfeld and Jimbo in the same way as ordinary Li…
Eigenvalus of Casimir Invariants for Type-I Quantum Superalgebras
Mark D. Gould, Jon R. Links, Yao-Zhong Zhang
We present the eigenvalues of the Casimir invariants for the type I quantum superalgebras on any irreducible highest weight module.
Type-I Quantum Superalgebras, -Supertrace and Two-variable Link Polynomials
Mark D. Gould, Jon R. Links, Yao-Zhong Zhang
A new general eigenvalue formula for the eigenvalues of Casimir invariants, for the type-I quantum superalgebras, is applied to the construction of link polynomials associated with…