\(R\)-matrix formulation of the quantum inhomogeneous groups ISO\(_{q,r}(N)\) and ISp\(_{q,r}(N)\)

DOI10.1007/BF00714382zbMath0838.22010arXivhep-th/9411039MaRDI QIDQ1906275

Leonardo Castellani, Paolo Aschieri

Publication date: 11 June 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9411039

zbMATH Keywords

projectionreal formsHopf structureinhomogeneous multiparametric \(q\)-groupsorthogonal symplectic conditionsquantum Poincaré group

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (5)

On the geometry of the quantum Poincaré group ⋮ Noncommutative principal bundles through twist deformation ⋮ Deformation quantization of principal bundles ⋮ LIE ALGEBRA OF THE q-POINCARÉ GROUP AND q-HEISENBERG COMMUTATION RELATIONS ⋮ Universal enveloping algebra and differential calculi on inhomogeneous orthogonal \(q\)-groups

Cites Work

• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• \(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\)
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS

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