Canonical and Lie-algebraic twist deformations of Galilei algebra
M Daszkiewicz - Modern Physics Letters A, 2008 - World Scientific
We describe various nonrelativistic contractions of two classes of twisted Poincaré algebra:
canonical one (θμν-deformation) and the one leading to Lie-algebraic models of …
canonical one (θμν-deformation) and the one leading to Lie-algebraic models of …
Canonical and Lie-algebraic twist deformations of κ-Poincaré and contractions to κ-Galilei algebras
M Daszkiewicz - International Journal of Modern Physics A, 2008 - World Scientific
We propose canonical and Lie-algebraic twist deformations of κ-deformed Poincaré Hopf
algebra which leads to the generalized κ-Minkowski space–time relations. The …
algebra which leads to the generalized κ-Minkowski space–time relations. The …
On simple modules and automorphisms of the quantum Galilei group
T Lu, M Xu - Communications in Algebra, 2024 - Taylor & Francis
This paper is devoted to ring theoretic properties and representations of the quantum Galilei
group F q (G) and its Hopf dual U q (g). We classify the primitive ideals and simple modules …
group F q (G) and its Hopf dual U q (g). We classify the primitive ideals and simple modules …
[PDF][PDF] Lie Bialgebra Structures on Twodimensional Galilei Algebra and their Lie-Poisson Counterparts
E Kowalczyk - arXiv preprint q-alg/9704009, 1997 - arxiv.org
arXiv:q-alg/9704009v1 10 Apr 1997 Page 1 arXiv:q-alg/9704009v1 10 Apr 1997 Lie Bialgebra
Structures on Twodimensional Galilei Algebra and their Lie–Poisson Counterparts. Emil …
Structures on Twodimensional Galilei Algebra and their Lie–Poisson Counterparts. Emil …
Canonical, Lie-algebraic and quadratic twist deformations of Galilei group
M Daszkiewicz - Modern Physics Letters A, 2008 - World Scientific
CANONICAL, LIE-ALGEBRAIC AND QUADRATIC TWIST DEFORMATIONS OF GALILEI
GROUP Page 1 July 8, 2008 11:2 WSPC/146-MPLA 02715 Modern Physics Letters A Vol. 23 …
GROUP Page 1 July 8, 2008 11:2 WSPC/146-MPLA 02715 Modern Physics Letters A Vol. 23 …
Projective representations of k-Galilei group
C Gonera, P Kosinski, P Maslanka… - Journal of Physics A …, 1998 - iopscience.iop.org
The projective representations of the k-Galilei group are found by contracting the relevant
representations of the-Poincaré group. The projective multiplier is found. It is shown that it is …
representations of the-Poincaré group. The projective multiplier is found. It is shown that it is …
Induced representations of quantum groups
O Arratia, MA del Olmo - arXiv preprint math/0110265, 2001 - arxiv.org
In this paper we show how to construct explicitly induced representations for bicrossproduct
Hopf algebras with abelian kernels starting from one-dimensional characters of the …
Hopf algebras with abelian kernels starting from one-dimensional characters of the …
Generalized twist deformations of Poincaré and Galilei quantum groups
M Daszkiewicz - arXiv preprint arXiv:1502.05793, 2015 - arxiv.org
arXiv:1502.05793v1 [hep-th] 20 Feb 2015 Page 1 arXiv:1502.05793v1 [hep-th] 20 Feb 2015
Generalized twist deformations of Poincare and Galilei quantum groups Marcin Daszkiewicz …
Generalized twist deformations of Poincare and Galilei quantum groups Marcin Daszkiewicz …
Deformed Galilei symmetry
P Kosiński, P Maślanka - Modern Physics Letters A, 1999 - World Scientific
A particular deformation of centrally extended Galilei group is considered. It is shown that
the deformation influences the rules of constructing the composed systems while one …
the deformation influences the rules of constructing the composed systems while one …
[PDF][PDF] Phase spaces of twisted Lie-algebraically deformed relativistic and nonrelativistic symmetries
M Daszkiewicz - arXiv preprint arXiv:0908.3987, 2009 - arxiv.org
arXiv:0908.3987v1 [math-ph] 27 Aug 2009 Page 1 arXiv:0908.3987v1 [math-ph] 27 Aug 2009
Phase spaces of twisted Lie-algebraically deformed relativistic and nonrelativistic symmetries …
Phase spaces of twisted Lie-algebraically deformed relativistic and nonrelativistic symmetries …