HOPF ALGEBRA STRUCTURE OF (2+1)-DIMENSIONAL QUANTUM SUPERSPACE, ITS DUAL AND ITS DIFFERENTIAL CALCULUS

DOI10.1142/S0217732310033256zbMath1193.81058MaRDI QIDQ3583275

Muttalip Özavşar

Publication date: 26 August 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasnoncommutative differential calculusquantum superspaces

Mathematics Subject Classification ID

Superalgebras (17A70) Noncommutative geometry in quantum theory (81R60) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) Hopf algebras and their applications (16T05)

Related Items (4)

Survey on Metric Fixed Point Theory and Applications ⋮ A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra ⋮ A Two-parameter bicovariant differential calculus on the (1 + 2)-dimensional q-superspace ⋮ Some fixed point results for generalized contraction mappings with cyclic \((\alpha, \beta)\)-admissible mapping in multiplicative metric spaces

Cites Work

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• Compact matrix pseudogroups
• Multiparametric quantum deformation of the general linear supergroup
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Differential calculi on the quantum superplane
• Quantum supergroup structure of (1+1)-dimensional quantum superplane, its dual and its differential calculus
• Duality for the matrix quantum group GLp,q(2,C)
• Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space
• Differential calculus on the quantum superspace and deformation of phase space

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