Almost commutative algebra and differential calculus on the quantum hyperplane

DOI10.1063/1.530888zbMath0808.17011OpenAlexW2037541473MaRDI QIDQ4298604

P. J. M. Bongaarts, H. G. J. Pijls

Publication date: 8 August 1994

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

Full work available at URL: https://pure.uva.nl/ws/files/715978/186_2465y.pdf

zbMATH Keywords

Poisson structurequantum groupsde Rham complexdifferential calculusquantum hyperplanealmost commutative algebra

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 differential geometry (46L87)

Related Items (15)

Representations and deformations of 3-Hom-ρ-Lie algebras ⋮ Riemannian geometry on Hom-\(\rho\)-commutative algebras ⋮ Colour calculus and colour quantizations ⋮ Lagrangian formalism over graded algebras ⋮ Categories and quantum statistics ⋮ 2-ρ-DERIVATIONS ON A ρ-ALGEBRA AND APPLICATIONS TO THE QUATERNIONIC ALGEBRA ⋮ Statistical $\rho$-commutative algebras ⋮ Generalized kinematics on \(\rho\)-commutative algebras ⋮ LEVI–CIVITA CONNECTION ON ALMOST COMMUTATIVE ALGEBRAS ⋮ (para-) Kähler structures on \(\rho \)-commutative algebras ⋮ ρ-DIFFERENTIAL CALCULI AND LINEAR CONNECTIONS ON MATRIX ALGEBRA ⋮ Fields and forms on \(\rho\)-algebras. ⋮ Almost commutative \(Q\)-algebras and derived brackets ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras ⋮ Symplectic \(\mathbb{Z}_2^n\)-manifolds

Cites Work

• Quantum q-white noise and a q-central limit theorem
• Compact matrix pseudogroups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• EXTERIOR ALGEBRA AND THE ACTION PRINCIPLE, I

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