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 …

We construct a noncommutative Cartan calculus on any braided commutative algebra and
study its applications in noncommutative geometry. The braided Lie derivative, insertion and …

We study the second quantization of field theory on the q-deformed fuzzy sphere for q∈ R.
This is performed using a path integral over the modes, which generate a quasi-associative …

Noncommutative geometries are described by replacing the commutative algebra of
functions on an ordinary space with a noncommutative algebra. The noncommutativity is …

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 …

Any deformation of a Weyl or Clifford algebra 𝒜 can be realized through a “deforming map,”
ie, a formal change of generators in 𝒜. This is true in particular if 𝒜 is covariant under a Lie …

We propose a general procedure to construct noncommutative deformations of an
embedded submanifold M of R n determined by a set of smooth equations fa (x)= 0. We use …

We propose a general procedure to construct noncommutative deformations of an algebraic
submanifold M of ℝ n R^n, specializing the procedure G. Fiore, T. Weber, Twisted …

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 …