Quantum supergroup structure of (1+1)-dimensional quantum superplane, its dual and its differential calculus

DOI10.1088/0305-4470/34/16/308zbMath0980.81027arXivmath-ph/9910024OpenAlexW1965496328MaRDI QIDQ2736742

E. H. Tahri, M. El Falaki

Publication date: 11 September 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/9910024

zbMATH Keywords

\(R\)-matrixbosonic variabledual Hopf superalgebraFaddeev-Reshetikhin-Takhtajan approachnon-cocommutative \(q\)-deformed Hopf structureright-invariant differential calculussupermatrix element

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (S)-matrix theory, etc. in quantum theory (81U20) Supersymmetry and quantum mechanics (81Q60) Infinite-dimensional manifolds (58B99)

Related Items (4)

DIFFERENTIAL CALCULUS ON THE LOGARITHMIC EXTENSION OF THE QUANTUM 3D SPACE AND WEYL ALGEBRA ⋮ A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra ⋮ Double-graded quantum superplane ⋮ HOPF ALGEBRA STRUCTURE OF (2+1)-DIMENSIONAL QUANTUM SUPERSPACE, ITS DUAL AND ITS DIFFERENTIAL CALCULUS

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