On the structure of inhomogeneous quantum groups
arXiv:hep-th/9412058 · doi:10.1007/s002200050093
Abstract
We investigate inhomogeneous quantum groups G built from a quantum group H and translations. The corresponding commutation relations contain inhomogeneous terms. Under certain conditions (which are satisfied in our study of quantum Poincare groups [12]) we prove that our construction has correct `size', find the R-matrices and the analogues of Minkowski space for G.
LaTeX file, 47 pages, existence of invertible coinverse assumed, will appear in Commun. Math. Phys
References in corpus (2)
Cited by in corpus (14)
- Poisson structures on the Poincare group
- Scalar field theory in Snyder space-time: alternatives
- Solutions of Klein--Gordon and Dirac equations on quantum Minkowski spaces
- Affine Structures on Quantum Principal Bundles
- -Deformations and Extended -Minkowski Spacetimes
- Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
- Quantum groups with projection and extensions of locally compact quantum groups
- The Dirac operator and gamma matrices for quantum Minkowski spaces
- Quantum Lorentz and braided Poincare groups
- Braided quantum groups and their bosonizations in the -algebraic framework
- Quasitriangularity and enveloping algebras for inhomogeneous quantum groups
- Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups
- On braided Poisson and quantum inhomogeneous groups
- Geometrical construction of quantum groups representations