Quasi-Hopf superalgebras and elliptic quantum supergroups

DOI10.1063/1.533029zbMath0968.81035arXivmath/9809156OpenAlexW3101458796WikidataQ60732545 ScholiaQ60732545MaRDI QIDQ4498401

Mark D. Gould, Yao-Zhong Zhang

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/math/9809156

zbMATH Keywords

supersymmetrictwistorstwistingKac-Moody superalgebrasymmetrizable generalized Cartan matrixquasi-triangular\({\mathbf Z}_2\)-gradedDrinfeld quasi-Hopf algebrasface type \({\mathcal B}_{q,\lambda}({\mathcal G})\)graded shifted cocycle conditionvertex type \({\mathcal A}_{q,p}[\text{sl}(\widehat n|n)\)]

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Supersymmetry and quantum mechanics (81Q60) Lie algebras and Lie superalgebras (17B99)

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Twisted supersymmetry in a deformed Wess-Zumino model in (2 + 1) dimensions ⋮ Casimir invariants from quasi-Hopf (super)algebras ⋮ Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras ⋮ Multiplicity in supersymmetric spin chains ⋮ LORENTZ INVARIANT AND SUPERSYMMETRIC INTERPRETATION OF NONCOMMUTATIVE QUANTUM FIELD THEORY ⋮ A construction for \(R\)-matrices without difference property in the spectral parameter

Cites Work

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