The Groenewold–Moyal plane is the algebra of functions on ℝd+ 1 with the*-product as the
multiplication law, and the commutator between the coordinate functions. Chaichian et al. 1 …

We give an introductory review of quantum physics on the noncommutative space–time
called the Groenewold–Moyal plane. Basic ideas like star products, twisted statistics, second …

We explore some general consequences of a proper, full enforcement of the “twisted
Poincaré” covariance of Chaichian et al., Wess, Koch et al., and Oeckl upon many-particle …

For the q-deformation Gq, 0< q< 1, of any simply connected simple compact Lie group G we
construct an equivariant spectral triple which is an isospectral deformation of that defined by …

Abstract Some classes of Deformed Special Relativity (DSR) theories are reconsidered
within the Hopf algebraic formulation. For this purpose we shall explore a minimal …

Any deformation of a Weyl or Clifford algebra can be realized through a change of
generators in the undeformed algebra. q-deformations of Weyl or Clifford algebrae that were …

We define and study dense Frechet subalgebras of compact quantum groups realised as
smooth domains associated with a Dirac type operator with compact resolvent. Further, we …

We construct a quantum field theory in noncommutative space time by twisting the algebra of
quantum operators (especially, creation and annihilation operators) of the corresponding …

We study irreducible unitary representations of U q (SO (2, 1)) and U q (SO (2,¶ 3)) for qa
root of unity, which are finite dimensional. Among others, unitary representations …

By the application of the general twist-induced⋆-deformation procedure we translate second
quantization of a system of bosons/fermions on a symmetric spacetime into a …