d 3 =0, d2=0 differential calculi on certain noncommutative (super) spaces

DOI10.1063/1.1738949zbMath1071.58007arXivmath-ph/0303057OpenAlexW1839658151MaRDI QIDQ4833425

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Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0303057

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) Supermanifolds and graded manifolds (58A50) Geometry of quantum groups (58B32)

Related Items (5)

Differential geometry of the \(\mathbb Z_3\)-graded quantum supergroup \(\mathrm{GL}_{q,j}(1|1)\) ⋮ \(\mathrm{GL}_{r,s}(n)\)-covariant differential calculi on the quantum \(n\)-space ⋮ Non-coordinate case of graded differential algebra with ternary differential ⋮ A Two-parameter bicovariant differential calculus on the (1 + 2)-dimensional q-superspace ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

Cites Work

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• Some aspects of quantum groups and supergroups
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• The cubic chessboard
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• DIFFERENTIAL CALCULUS AND CONNECTIONS ON A QUANTUM PLANE AT A CUBIC ROOT OF UNITY
• Differential calculus on the quantum superplane
• n=3 differential calculus and gauge theory on a reduced quantum plane
• Differential calculus on the quantum superspace and deformation of phase space
• Noncommutative gauge theory for Poisson manifolds

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