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Cartan-Weyl basis for Quantum Affine Superalgebra U_q(^osp(1|2))
Jerzy Lukierski, Valeryi N. Tolstoy
Cartan-Weyl basis for the quantum affine superalgebra U_q(^osp(1|2)) is constructed in an explicit form.
Heisenberg Double Description of kappa-Poincare Algebra and kappa-deformed Phase Space
J. Lukierski, A. Nowicki
The kappa-deformed dual pair of Poincare algebra and Poincare group is formulated in the framework of Heisenberg doubles. The covariant kappa-deformed phase space is described in d…
Quantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters
Jerzy Lukierski, Pierre Minnaert, Marek Mozrzymas
We consider new class of classical r-matrices for D=3 and D=4 conformal Lie algebras. These r-matrices do satisfy the classical Yang-Baxter equation and as two-tensors belong to th…
Bicrossproduct Hopf Superalgebras and -deformed Poincaré Supergroup.
P. Kosi{ń}ski, J. Lukierski, P. Ma{ś}lanka +1
The general framework of bicrossproduct Hopf algebras given by Majid is extended to -graded bicrossproduct Hopf superalgebras. As examples of bicrossproduct Hopf superalgebras…