\(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\)

DOI10.1007/BF01811293zbMath0736.17019MaRDI QIDQ1182286

A. G. Reyman, Riccardo Giachetti, Enrico Celeghini, Emanuele Sorace, Marco Tarlini

Publication date: 28 June 1992

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

zbMATH Keywords

defining relationsmatrix quantum groupsquantum Lorentz groupbasis of invariant functionsMinkowski quantum spacequantum pseudo-orthogonal groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie groups (22E99)

Related Items (8)

\(R\)-matrix method for Heisenberg 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 ⋮ Quantum groups and free differential algebras in field theory ⋮ On the geometry of the quantum Poincaré group ⋮ Quantum groups and free differential algebras in field theory ⋮ 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

• Quantum deformation of Lorentz group
• The three-dimensional Euclidean quantum group E(3)q and its R-matrix

This page was built for publication: \(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\)