LIE ALGEBRA OF THE q-POINCARÉ GROUP AND q-HEISENBERG COMMUTATION RELATIONS

DOI10.1142/S021797929900271XzbMath1229.81142OpenAlexW2051511328WikidataQ115246046 ScholiaQ115246046MaRDI QIDQ3106571

Paolo Aschieri

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021797929900271x

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) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

Cites Work

• Multiparametric quantum deformation of the general linear supergroup
• \(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\)
• Real forms of \({\mathcal U}_ q({\mathfrak g})\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• \(R\)-matrix formulation of the quantum inhomogeneous groups ISO\(_{q,r}(N)\) and ISp\(_{q,r}(N)\)
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• Unnamed Item

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