The two-parameter deformation of the supergroup \(\text{GL}(1| 1)\), its differential calculus and its Lie algebra

DOI10.1007/BF00398806zbMath0777.58007OpenAlexW2023589407WikidataQ115395060 ScholiaQ115395060MaRDI QIDQ1202939

S. Singh

Publication date: 20 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf00398806

zbMATH Keywords

deformationsnoncommutative differential geometry\(R\)-matricessupergroups

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 topology (46L85) Noncommutative differential geometry (46L87) Applications of global analysis to the sciences (58Z05) Exactly solvable models; Bethe ansatz (82B23)

Related Items (4)

DUALITY FOR MULTIPARAMETER QUANTUM DEFORMATION OF THE SUPERGROUP GL(m/n) ⋮ Duality and representations for new exotic bialgebras ⋮ Comment on ``Minimal parabolic quantum groups in twist deformations by M. Ilyin and V. Lyakhovsky on a ``new deformation of \(GL(2)\) ⋮ Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries

Cites Work

• Unnamed Item
• Two-parameter quantum deformation of \(\text{GL}(1| 1)\).
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• QUANTUM LIE SUPERALGEBRAS AND “NON-STANDARD” BRAID GROUP REPRESENTATIONS
• Unusual solutions to the Yang-Baxter equation
• Differential geometry of the quantum supergroupGL q (1/1)

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