108 citations · 178 across the 15 of their papers we have counts for
15 papers
Massive Relativistic Systems with Spin and the Two Twistor Phase Space
Andreas Bette, Stanislaw Zakrzewski
We show that a two twistor phase space {à} priori describing two non localized massless and spinning particles may be decomposed into a product of three independent phase spaces: t…
Quantum Lorentz and braided Poincare groups
S. Zakrzewski
Quantum Lorentz groups H admitting quantum Minkowski space V are selected. Natural structure of a quantum space G = V x H is introduced, defining a quantum group structure on G onl…
On braided Poisson and quantum inhomogeneous groups
S. Zakrzewski
The well known incompatibility between inhomogeneous quantum groups and the standard q-deformation is shown to disappear (at least in certain cases) when admitting the quantum grou…
Free motion on the Poisson SU(n) group
S. Zakrzewski
SL(N,C) is the phase space of the Poisson SU(N). We calculate explicitly the symplectic structure of SL(N,C), define an analogue of the Hamiltonian of the free motion on SU(N) and…
Twisted Legendre transformation
S. Zakrzewski
The general framework of Legendre transformation is extended to the case of symplectic groupoids, using an appropriate generalization of the notion of generating function (of a Lag…
Free motion on the Poisson plane and sphere
S. Zakrzewski
Poisson plane and sphere --- homogeneous spaces of Poisson groups E(2) and SU(2) (resp.) --- have phase spaces (corresponding symplectic groupoids), in which a free Hamiltonian is…