DIFFERENTIAL CALCULUS ON THE LOGARITHMIC EXTENSION OF THE QUANTUM 3D SPACE AND WEYL ALGEBRA

DOI10.1142/S0219887811005877zbMath1243.81095WikidataQ115441094 ScholiaQ115441094MaRDI QIDQ2891187

Muttalip Özavşar, Gursel Yesilot

Publication date: 13 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebraWeyl algebraHopf algebradifferential calculusvector fieldsquantum space

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 geometry in quantum theory (81R60) Hopf algebras and their applications (16T05)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Compact matrix pseudogroups
• Multiparametric quantum deformation of the general linear supergroup
• Polynomial invariant of knots and links from two-parameter quantum groups
• The dual of a quantum group
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Differential calculi on the quantum superplane
• Differential geometry of the quantum 3-dimensional space
• Quantum supergroup structure of (1+1)-dimensional quantum superplane, its dual and its differential calculus
• A NEW APPROACH IN BICOVARIANT DIFFERENTIAL CALCULUS ON SU_q(2)
• Non-commutative differential calculus and q-analysis
• DIFFERENTIAL CALCULUS AND CONNECTIONS ON A QUANTUM PLANE AT A CUBIC ROOT OF UNITY
• Quantum group related to the space of differential operators on the quantum hyperplane
• Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space
• Differential calculus on the quantum superspace and deformation of phase space
• Differential calculi and linear connections

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