Domagoj Kovacevic

Faculty of Electrical Engineering and Computer Science (Zagreb , Croatia)

kappa-Minkowski space-time and Hermitian covariant realizations

Abstract:
We consider a family of algebras unifying k-Minkowski spacetime and Poincare algebra. Hopf algebra of Poincare algebra is presented in unified and covariant form. Realizations and star product are analyzed in general. Left-right dual realizations and dual algebra are introduced and considered. Hermitian realization and corresponding star product are presented. The correspondence between the involution and inner product is analyzed. Integral identities are presented. Finally, translation invariance of star product is pointed out.