We investigate the spin-1/2 fermions on quantum-two spheres. It is shown that the wave
functions of fermions and a Dirac operator on quantum-two spheres can be constructed in a …

Attention is focused on q-deformed quantum algebras with physical importance, ie Uq (su2),
Uq (so4) and q-deformed Lorentz algebra. The main concern of this article is to assemble …

We show that the braided tensor product algebra A1 A2 of two module algebras A1, A2 of a
quasitriangular Hopf algebra H is isomorphic to the ordinary tensor product A1 A2, provided …

Abstract GL q (N)-and SO q (N)-covariant deformations of the completely symmetric/
antisymmetric projectors with an arbitrary number of indices are explicitly constructed as …

The Euclidean Hopf algebra U4 (eN) dual of Fun (Ry> a SO,-r (N)) is constructed by
realizing it as a subalgebra of the differential algebra Diff (Rf) on the quantum Euclidean …

Quantum anti-de Sitter space Page 1 Digital Object Identifier (DOI) 10.1007/s100520000498
Eur. Phys. J. C 17, 527–534 (2000) THE EUROPEAN PHYSICAL JOURNAL C c Societ`a …

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 …

Abstract Representations of SO (5) can be constructed on bases such that either the
Chevalley triplet (e 1, f 1, h 1) or (e 2, f 2, h 2) has the standard SU (2) matrix elements. The …

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 …

Quantum gauge theory on anti–de Sitter space is studied. The quantum Killing metric and
the quadratic quantum Casimir operator are defined. The quantum metrics on the quantum …