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P. Maslanka

Publications and source records attributed to P. Maslanka.

27 records · Page 2Linked to original sources
arXiv2000

Local Field Theory ON $κ$-Minkowski Space, Star Products and Noncommutative Translations

We consider local field theory on $κ$-deformed Minkowski space which is an example of solvable Lie-algebraic noncommutative structure. Using integration formula over $κ$-Minkowski space and $κ$-deformed Fourier transform we consider for deformed local fields the reality conditions as well as deformation of action functionals in standard Minkowski space. We present explicite formulas for two equivalent star products describing CBH quantization of field theory on $κ$-Minkowski space. We express also via star product technique the noncommutative translations in $κ$-Minkowski space by commutative translations in standard Minkowski space.

hep-th↗
arXiv1998

Projective representation of k-Galilei group

The projective representations of k-Galilei group G_k are found by contracting the relevant representations of k-Poincare group. The projective multiplier is found. It is shown that it is not possible to replace the projective representations of G_k by vector representations of some its extension.

math.QA↗
arXiv1993

The Quantum ISL(2,C) Group

Abstr.: The classical r-matrix implied by the quantum k-Poincare algebra of Lukierski,Nowicki and Ruegg is used to generate a Poisson structure on the ISL(2,C) group. A quantum deformation of the ISL(2,C) group ( on the Hopf algebra level ) is obtained by a trivial quantization.

hep-th↗