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Hopf-Sikorski algebras

Heller M., Odrzygóźdź Z., Pysiak L., Sasin W.

Demonstratio Mathematica

2011

Vol. 44, nr 2

213-221

The dual category with respect to the category of differential groups is defined and investigated. The objects of this category are algebras, called Hopf-Sikorski (H-S) algebras, the axioms of which combine the axioms of Sikorski's algebras with modified axiomas of Hopf algebras. Morphisms of this category are structural mappings corresponding to Hopf algebras that are smooth in the sense of Sikorski. As an example, we discuss the H-S algebra of the Lorentz group.

Some Remarks on Kappa-deformed Boost Transformations

Nowicki A., Masłowski T.

Computational Methods in Science and Technology

2010

Vol. 16, No. 2

177-180

We discuss the invariance of the action of the Lorentz algebra on the relativistic fourmomentum algebra under nonlinear transformations. In particular, we describe the global Lorentz boosts acting on four momenta in cases for classical and �Č-deformed Poincare relativistic symmetry.