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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…
kappa-deformed realisation of D=4 conformal algebra
Malgorzata Klimek, Jerzy Lukierski
We describe the generators of kappa-conformal transformations, leaving invariant the kappa-deformed d'Alembert equation. In such a way one obtains the conformal extension of the of…
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…