The small scale structure of space-time: a bibliographical review
PE Gibbs - arXiv preprint hep-th/9506171, 1995 - arxiv.org
arXiv:hep-th/9506171v2 26 Jan 1996 Page 1 arXiv:hep-th/9506171v2 26 Jan 1996 June 8th
1995 hep-th/9506171 PEG-06-95 The Small Scale Structure of Space-Time: A Bibliographical …
1995 hep-th/9506171 PEG-06-95 The Small Scale Structure of Space-Time: A Bibliographical …
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 …
Fredholm modules for quantum Euclidean spheres
The quantum Euclidean spheres, SqN− 1, are (noncommutative) homogeneous spaces of
quantum orthogonal groups, SOq (N). The∗-algebra A (SN− 1q) of polynomial functions on …
quantum orthogonal groups, SOq (N). The∗-algebra A (SN− 1q) of polynomial functions on …
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 …
Structure of the three-dimensional quantum euclidean space
BL Cerchiai, J Madore, S Schraml, J Wess - The European Physical …, 2000 - Springer
As an example of a noncommutative space we discuss the quantum 3-dimensional
Euclidean space R^3_q together with its symmetry structure in great detail. The algebraic …
Euclidean space R^3_q together with its symmetry structure in great detail. The algebraic …
Realization ofU q (so(N)) within the differential algebra onR q N
G Fiore - Communications in mathematical physics, 1995 - Springer
We realize the Hopf algebra U q− 1 (so (N)) as an algebra of differential operators on the
quantum Euclidean space R q N. The generators are suitable q-deformed analogs of the …
quantum Euclidean space R q N. The generators are suitable q-deformed analogs of the …
[HTML][HTML] Hilbert space representations of cross product algebras
K Schmüdgen, E Wagner - Journal of Functional Analysis, 2003 - Elsevier
Hilbert space representations of cross product∗-algebras of the Hopf∗-algebras U q (gl 2)
with the coordinate algebras O ̂ (C q2) and O (R q3) of quantum vector spaces, and of U q …
with the coordinate algebras O ̂ (C q2) and O (R q3) of quantum vector spaces, and of U q …
On the decoupling of the homogeneous and inhomogeneous parts in inhomogeneous quantum groups
G Fiore - Journal of Physics A: Mathematical and General, 2002 - iopscience.iop.org
We show that, if there exists a realization of a Hopf algebra H in a H-module algebra Script
A, then one can split their cross-product into the tensor product algebra of Script A itself with …
A, then one can split their cross-product into the tensor product algebra of Script A itself with …
THE q-EUCLIDEAN ALGEBRA Uq(eN) AND THE CORRESPONDING q-EUCLIDEAN LATTICE
G Fiore - International Journal of Modern Physics A, 1996 - World Scientific
We present the Euclidean Hopf algebra Uq (eN) dual of and describe its fundamental Hilbert
space representations, 6 which turn out to be rather simple “lattice-regularized” versions of …
space representations, 6 which turn out to be rather simple “lattice-regularized” versions of …