145 citations · 1.4k across the 82 of their papers we have counts for
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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.
Integrable Electron Model with Correlated Hopping and Quantum Supersymmetry
Mark D. Gould, Katrina E. Hibberd, Jon R. Links +1
We give the quantum analogue of a recently introduced electron model which generalizes the Hubbard model with additional correlated hopping terms and electron pair hopping. The mod…
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…