q-Euclidean space and quantum Wick rotation by twisting

DOI10.1063/1.530828zbMath0833.17015arXivhep-th/9401112OpenAlexW2060384023MaRDI QIDQ4327225

Shahn Majid

Publication date: 5 April 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9401112

zbMATH Keywords

quantum groupquantum matrix algebra\(q\)-Minkowski spacebraided matrices\(q\)-deformed Euclidean spacequantum Wick rotation

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)

Related Items

Braided geometry of the conformal algebra, Quasi-\(*\) structure on \(q\)-Poincaré algebras, q -conformal invariant equations and q-plane wave solutions, Braided cyclic cocycles and nonassociative geometry, q-epsilon tensor for quantum and braided spaces, Algebraic q-integration and Fourier theory on quantum and braided spaces, The Euclidean Hopf algebra U q(e N) and its fundamental Hilbert-space representations, *-structures on braided spaces, \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)], q -quaternions and q-deformed su(2) instantons, Semidual Kitaev lattice model and tensor network representation, Quantum groups and noncommutative geometry, Differential and twistor geometry of the quantum Hopf fibration, Warped products and Yang-Mills equations on noncommutative spaces, Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories, Quasialgebra structure of the octonions, Heisenberg Double ℋ(B*) as a Braided Commutative Yetter–Drinfeld Module Algebra Over the Drinfeld Double, Quantum Clifford algebras from spinor representations, \(q\)-difference intertwining operators and \(q\)-conformal invariant equations

Cites Work

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• Quantum R-matrices and factorization problems
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