235 citations · 411 across the 10 of their papers we have counts for
10 papers
A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions
Jerzy Kijowski, Piotr Podles
A method of solving Maxwell equations in a vicinity of a multipole particle (moving along an arbitrary trajectory) is proposed. The method is based on a geometric construction of a…
Born renormalization in classical Maxwell electrodynamics
J. Kijowski, P. Podles
We define and compute the renormalized four-momentum of the composed physical system: classical Maxwell field interacting with charged point particles. As a `reference' configurati…
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…
On the classification of quantum Poincaré groups
P. Podles, S. L. Woronowicz
Using the general theory of [10] ( hep-th 9412058 ), quantum Poincaré groups (without dilatations) are described and investigated. The description contains a set of numerical param…
On the structure of inhomogeneous quantum groups
P. Podles, S. L. Woronowicz
We investigate inhomogeneous quantum groups G built from a quantum group H and translations. The corresponding commutation relations contain inhomogeneous terms. Under certain cond…
On representation theory of quantum groups at roots of unity
P. Kondratowicz, P. Podles
Irreducible representations of quantum groups (in Woronowicz' approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the~case of being an~odd root of uni…
Symmetries of quantum spaces. Subgroups and quotient spaces of quantum and groups
Piotr Podleś
We prove that each action of a compact matrix quantum group on a compact quantum space can be decomposed into irreducible representations of the group. We give the formula for the…