Casimir invariants from quasi-Hopf (super)algebras

DOI10.1063/1.533151zbMath0974.16030arXivmath/9811052OpenAlexW3105347057WikidataQ60732547 ScholiaQ60732547MaRDI QIDQ2737835

Phillip S. Isaac, Mark D. Gould, Yao-Zhong Zhang

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9811052

zbMATH Keywords

quasi-Hopf algebrascentral elementsCasimir invariantselliptic quantum supergroupsquasi-Hopf twistings

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

Cites Work

• Universal solutions of quantum dynamical Yang-Baxter equations
• Quasi-quantum groups, knots, three-manifolds, and topological field theory
• Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras
• An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
• Quasi-Hopf deformations of quantum groups
• A quasi-Hopf algebra interpretation of quantum \(3\)-\(j\) and \(6\)-\(j\) symbols and difference equations
• Quasi-Hopf twistors for elliptic quantum groups
• Casimir invariants for Hopf algebras
• Universal R matrices and invariants of quantum supergroups
• Quasi-Hopf superalgebras and elliptic quantum supergroups

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