Covariant realization of quantum spaces as star products by Drinfeld twists
C Blohmann - Journal of Mathematical Physics, 2003 - pubs.aip.org
Noncommutative geometries are described by replacing the commutative algebra of
functions on an ordinary space with a noncommutative algebra. The noncommutativity is …
functions on an ordinary space with a noncommutative algebra. The noncommutativity is …
Freeq-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group
After a preliminary review of the definition and the general properties of the homogeneous
spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are …
spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are …
Identical particles and quantum symmetries
We propose a solution to the problem of compatibility of Bose-Fermi statistics with symmetry
transformations implemented by compact quantum groups of Drinfel'd type. We use unitary …
transformations implemented by compact quantum groups of Drinfel'd type. We use unitary …
Quantum Heisenberg-Weyl algebras
A Ballesteros, FJ Herranz… - Journal of Physics A …, 1997 - iopscience.iop.org
Quantum Heisenberg - Weyl algebras Page 1 Journal of Physics A: Mathematical and General
LETTER TO THE EDITOR Quantum Heisenberg - Weyl algebras To cite this article: Angel …
LETTER TO THE EDITOR Quantum Heisenberg - Weyl algebras To cite this article: Angel …
On the deformability of Heisenberg algebras
M Pillin - Communications in mathematical physics, 1996 - Springer
Based on the vanishing of the second Hochschild cohomology group of the Weyl algebra it
is shown that differential algebras coming from quantum groups do not provide a non-trivial …
is shown that differential algebras coming from quantum groups do not provide a non-trivial …
Kappa-Minkowski spacetime: Mathematical formalism and applications in Planck scale physics
A Pachoł - arXiv preprint arXiv:1112.5366, 2011 - arxiv.org
The dissertation presents possibilities of applying noncommutative spacetimes description,
particularly kappa-deformed Minkowski spacetime and Drinfeld's deformation theory, as a …
particularly kappa-deformed Minkowski spacetime and Drinfeld's deformation theory, as a …
On the Drinfeld twist for quantum sl (2)
L Dabrowski, F Nesti, P Siniscalco - arXiv preprint q-alg/9610012, 1996 - arxiv.org
arXiv:q-alg/9610012v1 9 Oct 1996 Page 1 arXiv:q-alg/9610012v1 9 Oct 1996 ON THE
DRINFELD TWIST FOR QUANTUM sl(2) Ludwik Dabrowski SISSA, Via Beirut 2-4, Trieste …
DRINFELD TWIST FOR QUANTUM sl(2) Ludwik Dabrowski SISSA, Via Beirut 2-4, Trieste …
Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)
N Aizawa - Czechoslovak journal of physics, 1998 - Springer
Drinfeld twist is applied to the Lie algebra gl (2) so that a two-parametric deformation of it is
obtained, which is identical to the Jordanian deformation of the gl (2) obtained by Aneva et …
obtained, which is identical to the Jordanian deformation of the gl (2) obtained by Aneva et …
Quantum homogeneous spaces and special functions with a dimensional deformation parameter
F Bonechi, R Giachetti, MA Del Olmo… - Journal of Physics A …, 1996 - iopscience.iop.org
We study the most elementary aspects of harmonic analysis on a homogeneous space of a
deformation of the two-dimensional Euclidean group, admitting generalizations to …
deformation of the two-dimensional Euclidean group, admitting generalizations to …