We investigate the relationship between the generalized uncertainty principle in quantum
gravity and the quantum deformation of the Poincaré algebra. We find that a deformed …

What is the fate of Lorentz symmetry at Planck scale? This question was the main theme of
the Winter School and, as the reader could see from the proceedings, there are many …

Doubly Special Relativity (DSR) theory is a theory with two observer-independent scales, of
velocity and mass (or length). Such a theory has been proposed by Amelino-Camelia as a …

In the past decade there has been an extemely rapid growth in the interest and development
of quantum group theory. This book provides students and researchers with a practical …

We show that, in general, a spacetime having a quantum group symmetry has also a scale-
dependent fractal dimension which deviates from its classical value at short scales, a …

We compare different formulations of the generalized uncertainty principle that have an
underlying algebraic structure. We show that the formulation by Kempf, Mangano, and Mann …

Investigations of the possibility that some novel" quantum" properties of space–time might
induce a Planck-scale modification of the energy/momentum dispersion relation focused at …

A simultaneous and global scheme of quantum deformation is defined for the set of algebras
corresponding to the groups of motions of the two-dimensional Cayley-Klein geometries …

Several non-semisimple Lie groups play an important role in Physics, for instance, the
Poincar6 and Galilei ones; they can be gotten starting from semisimple groups by means of …

In this paper we give an approach to quantum deformations of the (2+ 1) kinematical Lie
algebras within a scheme that simultaneously describes all groups of motions of classical …