Differential geometry of the quantum supergroupGL q (1/1)

DOI10.1007/BF01554473zbMath0973.17504OpenAlexW1997917454WikidataQ115393349 ScholiaQ115393349MaRDI QIDQ4022359

Stamatis P. Vokos, William B. Schmidke, Bruno Zumino

Publication date: 17 January 1993

Published in: [https://portal.mardi4nfdi.de/entity/Q3472270 Zeitschrift f�r Physik C Particles and Fields] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01554473

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) Noncommutative differential geometry (46L87) Superalgebras (17A70) Geometry of quantum groups (58B32)

Related Items (13)

Two parameter deformation of Grassmann matrix group and supergroup ⋮ Multiparameter deformations of GL(N) and Jordan–Schwinger constructions ⋮ Gauss decomposition for quantum groups and supergroups ⋮ Comment on the solutions of the graded Yang–Baxter equation ⋮ Classical and quantum sl(1‖2) superalgebras, Casimir operators and quantum chain Hamiltonians ⋮ Two-parameter quantum deformation of \(\text{GL}(1|1)\). ⋮ Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\) ⋮ The two-parameter deformation of the supergroup \(\text{GL}(1| 1)\), its differential calculus and its Lie algebra ⋮ Le langage des espaces et des groupes quantiques. (The language of quantum spaces and quantum groups) ⋮ Differential calculus on the quantum superspace and deformation of phase space ⋮ \(h\)-deformation of GL\((1| 1)\) ⋮ Deformations of Poisson algebra in terms of star products and q-deformed mechanics ⋮ The algebra of differential forms on a full matric bialgebra

Cites Work

• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Multiparametric quantum deformation of the general linear supergroup
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Duality and quantum groups
• Some aspects of quantum groups and supergroups
• Analysis of the basic matrix representation ofGL q(2,C)
• Unnamed Item

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