146 citations · 847 across the 74 of their papers we have counts for
8 papers · 1 filter
spl(p,q) superalgebra and differential operators
Yves Brihaye, Stefan Giller, Piotr Kosinski
Series of finite dimensional representations of the superalgebras spl(p,q) can be formulated in terms of linear differential operators acting on a suitable space of polynomials. We…
Differential calculus on the quantum Heisenberg group
Piotr Kosinski, Pawel Maslanka, Karol Przanowski
The differential calculus on the quantum Heisenberg group is conlinebreak structed. The duality between quantum Heisenberg group and algebra is proved.
Differential calculi on quantum Minkowski space
Cezary Gonera, Piotr Kosinski, Pawel Maslanka
The differential calculus on n-dimensional quantum Minkowski space covariant with respect to left action of Kappa-Poincar'e group is constructed and its uniqueness is shown.
A note on geometry of Kappa-Minkowski space
Stefan Giller, Cezary Gonera, Piotr Kosinski +1
The infinitesimal action of Kappa-Poincar'e group on Kappa-Minkowski space is computed both for generators of Kappa-Poincar'e algebra and those of Woronowicz generalized Lie algebr…
The bicovariant differential calculus on the three-dimensional Kappa-Poincar'e group
Piotr Kosinski, Michal Majewski, Pawel Maslanka
The bicovariant differential calculus on the three-dimensional Kappa-Poincar'e group and the corresponding Lie-algebra structure are described. The equivalence of this Lie-algebra…
The Kappa-Weyl group and its algebra
Piotr Kosinski, Pawel Maslanka
The Poincare group and its algebra in an arbitrary basis are constructed. The de\-formation of the Weyl group and its algebra in any dimensions and in the reference frame i…
The bicovariant differential calculus on the kappa-Poincare group and on the kappa-Minkowski space
P. Kosinski, P. Maslanka, J. Sobczyk
The bicovariant differential calculus on the four-dimensional kappa-Poincare group and the corresponding Lie-algebra like structure are described. The deifferential calculus on the…
Representations of generalized oscillator algebra
P. Kosinski, M. Majewski, P. Maslanka
The representations of the oscillator algebra introduced by Brzezinski et al. (Phys. Lett. B 311 (1993), 202) are classified.