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Introduction to quantum groups
P. Podles, E. Muller
We give an elementary introduction to the theory of algebraic and topological quantum groups (in the spirit of S. L. Woronowicz). In particular, we recall the basic facts from Hopf…
The Dirac operator and gamma matrices for quantum Minkowski spaces
P. Podles
Gamma matrices for quantum Minkowski spaces are found. The invariance of the corresponding Dirac operator is proven. We introduce momenta for spin 1/2 particles and get (in certain…
Solutions of Klein--Gordon and Dirac equations on quantum Minkowski spaces
P. Podles
Covariant differential calculi and exterior algebras on quantum homogeneous spaces endowed with the action of inhomogeneous quantum groups are classified. In the case of quantum Mi…
Quasitriangularity and enveloping algebras for inhomogeneous quantum groups
P. Podles
Coquasitriangular universal matrices on quantum Lorentz and quantum Poincaré groups are classified. The results extend (under certain assumptions) to inhomogeneous quant…