The geometry of the quantum Euclidean space

DOI10.1016/S0393-0440(99)00054-6zbMath1054.58003arXivmath/9904027OpenAlexW3106377367MaRDI QIDQ1973422

John Madore, Gaetano Fiore

Publication date: 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904027

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32)

Related Items

Right \(SU_q(2)\)- and left \(SU_{q^{-1}}(2)\)-invariances of the \(q\)-Hilbert-Schmidt scalar products for an adjoint representation of the quantum algebra \(\breve{U}_q(su_2)\) ⋮ FRAME FORMALISM FOR THE N-DIMENSIONAL QUANTUM EUCLIDEAN SPACES ⋮ Metrics on the real quantum plane ⋮ Unbraiding the braided tensor product ⋮ The fuzzy BTZ ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ The quantum group SLq⋆(2) and quantum algebra Uq(sl2⋆) based on a new associative multiplication on 2 × 2 matrices ⋮ 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 ⋮ RTT relations, a modified braid equation and noncommutative planes ⋮ Twisted submanifolds of \(\mathbb{R}^n\)

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