The coloured quantum plane

DOI10.1016/S0393-0440(02)00051-7zbMath1013.58006arXivmath/0202183MaRDI QIDQ1864931

Deepak Parashar

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202183

zbMATH Keywords

quantum groupsdifferential calculusbicovariant differential calculusManin plane\(R\)-matrix frameworkcoloured Manin planecoloured quantum groupWess-Zumino formalism

Mathematics Subject Classification ID

Related Items (1)

Spectral-Parameter Dependent Yang–Baxter Operators and Yang–Baxter Systems From Algebra Structures

Cites Work

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• Jordanian \(U_{h,s}gl(2)\) and its coloured realization
• Duality for coloured quantum groups
• THE TWO-PARAMETRIC EXTENSION OF h DEFORMATION OF GL(2), AND THE DIFFERENTIAL CALCULUS ON ITS QUANTUM PLANE
• Contraction of the Gr,s quantum group to its nonstandard analog and corresponding colored quantum groups
• Colored solutions of the Yang–Baxter equation from representations of Uqgl(2)
• COLORED EXTENSIONS OF GL_q(2) QUANTUM GROUP AND RELATED NONCOMMUTATIVE PLANES
• Duals of colored quantum universal enveloping algebras and colored universal 𝒯-matrices
• Non-commutative geometry of theh-deformed quantum plane
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
• Covariant differential calculus on the quantum hyperplane
• The coisotropic subgroup structure of \(\text{SL}_q(2,\mathbb{R})\)

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