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Anatol Nowicki

Researcher at University of Bordeaux

Publications -  16
Citations -  1866

Anatol Nowicki is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Hopf algebra & Minkowski space. The author has an hindex of 12, co-authored 16 publications receiving 1750 citations. Previous affiliations of Anatol Nowicki include University of Geneva & University of Szczecin.

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Q deformation of Poincare algebra

TL;DR: In this paper, the standard q-deformation of the Cartan-Weyl basis for o(3,2) ⋍ sp (4| R ) (real form of C2) is calculated.
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New quantum Poincaré algebra and κ-deformed field theory

TL;DR: In this paper, a real quantum Poincare algebra with standard real structure, obtained by contraction of Uq(O(3,2)) (q real), which is a standard real Hopf algebra, depending on a dimension-full parameter κ instead of q.
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Real forms of complex quantum anti-de-Sitter algebra Uq(Sp(4;C)) and their contraction schemes

TL;DR: In this article, the Cartan-Chevalley basis of Uq(Sp (4; C )) is extended to inner involutions of Cartan Weyl basis for quantum D = 4 anti-de-Sitter algebra, leading to quantum Poincare algebra with an undeformed space rotation O(3) subalgebra.
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Quantum deformations of D=4 Poincaré and Weyl algebra from q-deformed D=4 conformal algebra

TL;DR: In this paper, the Cartan-Weyl basis of the quantum Lie algebra U q ( Sl (4; C )) is described and two real forms describing two different q-deformations Uq(i)(O(4, 2)) (i=1,2) of the D=4 conformal algebra.
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All possible de Sitter superalgebras and the presence of ghosts

TL;DR: In this article, it was shown that it is possible only for d = 2 to write a nontrivial representation of a de Sitter superalgebra in Hilbert space, with positive-definite metric.