146 citations · 847 across the 74 of their papers we have counts for
6 papers · 1 filter
Irreducible Representations of an Algebra underlying Hidden Symmetries of a class of Quasi Exactly Solvable Systems of Equations
Y. Brihaye, S. Giller, P. Kosinski +1
The set of linear, differential operators preserving the vector space of couples of polynomials of degrees n and n-2 in one real variable leads to an abstract associative graded al…
On the relations between osp(2,2) and the quasi exactly solvable systems
Yves Brihaye, Stefan Giller, Piotr Kosinski
By taking a product of two sl(2) representations, we obtain the differential operators preserving some space of polynomials in two variables. This allows us to construct the repres…
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…