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On Hopf algebroid structure of kappa-deformed Heisenberg algebra
Jerzy Lukierski, Zoran Škoda, Mariusz Woronowicz
The -dimensional -deformed quantum phase space as well as its -dimensional covariant extension by the Lorentz sector can be described as Heisenberg doubles: the…
Twisting and kappa-Poincare
Andrzej Borowiec, Jerzy Lukierski, Anna Pachol
We demonstrate that the coproduct of D=2 and D=4 quantum kappa-Poincare algebra in classical algebra basis can not be obtained by the cochain twist depending only on Poincare algeb…
Supersymmetrization Schemes of D=4 Maxwell Algebra
Kiyoshi Kamimura, Jerzy Lukierski
The Maxwell algebra, an enlargement of Poincare algebra by Abelian tensorial generators, can be obtained in arbitrary dimension D by the suitable contraction of O(D-1,1) \oplus O(D…
The algebraic structure of Galilean superconformal symmetries
Sergey Fedoruk, Jerzy Lukierski
The semisimple part of d-dimensional Galilean conformal algebra g^(d) is given by h^(d)=O(2,1)+O(d), which after adding via semidirect sum the 3d-dimensional Abelian algebra t^(d)…
Galilean Superconformal Symmetries
J. A. de Azcarraga, J. Lukierski
We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-ext…
kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters
Jerzy Lukierski
We transform the oscillator algebra with kappa-deformed multiplication rule, proposed in [1],[2], into the oscillator algebra with kappa-deformed flip operator and standard multipl…
On Quantum Deformations of D=4 Conformal Algebra
A. Frydryszak, J. Lukierski, P. Minnaert +1
Three classes of classical r-matrices for sl(4,C) algebra are constructed in quasi-Frobenius algebra approach. They satisfy CYBE and are spanned respectively on 8,10,12 generators.…