Integration on quantum Euclidean space and sphere

DOI10.1063/1.531658zbMath0863.58007arXivq-alg/9506020OpenAlexW3103823884MaRDI QIDQ5284893

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Publication date: 12 June 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9506020

zbMATH Keywords

integrationquantum Euclidean spaceStokes theoremspherical boundary terms

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Integration on manifolds; measures on manifolds (58C35) General mathematical topics and methods in quantum theory (81Q99)

Related Items (8)

FRAME FORMALISM FOR THE N-DIMENSIONAL QUANTUM EUCLIDEAN SPACES ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ ON THE HERMITICITY OF q-DIFFERENTIAL OPERATORS AND FORMS ON THE QUANTUM EUCLIDEAN SPACES $\mathbb{R}_q^N$ ⋮ q -quaternions and q-deformed su(2) instantons ⋮ Field theory on the \(q\)-deformed fuzzy sphere. I. ⋮ GAUGE FIELD THEORY ON THE E_q(2)-COVARIANT PLANE ⋮ Twisted submanifolds of \(\mathbb{R}^n\) ⋮ ANALYSIS ON q-DEFORMED QUANTUM SPACES

Cites Work

• Compact matrix pseudogroups
• Reality in the differential calculus on \(q\)-Euclidean spaces
• Complex quantum groups and their real representations
• Free particle in \(q\)-deformed configuration space
• THE SO_q(N, R)-SYMMETRIC HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE ${\bf R}_q^N$ AND ITS HILBERT SPACE STRUCTURE
• Algebraic q-integration and Fourier theory on quantum and braided spaces

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