1.4k citations · 9k across the 174 of their papers we have counts for
6 papers · 1 filter
The classical basis for -deformed Poincaré (super)algebra and the second -deformed supersymmetric Casimir
P. Kosiński, J. Lukierski, P. Maślanka +1
We present here the general solution describing generators of \kdef \poin algebra as the functions of classical \poin algebra generators as well as the inverse formulae. Further we…
-Deformation of Poincaré Superalgebra with Classical Lorentz Subalgebra and its Graded Bicrossproduct Structure
P. Kosi{ń}ski, J. Lukierski, P. Ma{ś}lanka +1
The -deformed Poincar{é} superalgebra written in Hopf superalgebra form is transformed to the basis with classical Lorentz subalgebra generators. We show that in such a ba…
Operator Formalism on General Algebraic Curves
F. Ferrari, J. Sobczyk
The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an…
Quantum Heisenberg Group and Algebra: Contraction, Left and Right Regular Representations
Demosthenes Ellinas, Jan Sobczyk
We show that the quantum Heisenberg group can be obtained by means of contraction from quantum group. Its dual Hopf algebra is the quantum Heisenberg algebra $…
Classical r-matrices and construction of quantum groups
J. Sobczyk
A problem of constructing quantum groups from classical r-matrices is discussed.
Quantum Deformation of the Poincare Supergroup and -deformed Superspace
P. Kosi{ń}ski, J. Lukierski, P. Ma{ś}lanka +1
The classical -matrix for superPoincar{é} algebra, given by Lukierski, Nowicki and Sobczyk is used to describe the graded Poisson structure on the Poincar{é} supergr…