I give a brief summary of the results reported in [1], in collaboration with G. Amelino-Camelia and F. D’Andrea. I focus on the analysis of the symmetries of κ-Minkowski noncommutative space-time, described in terms of a Weyl map. The commutative-spacetime notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf-algebra sense, it is possible ...

We investigate a generalization of Hopf algebra slq (2) by weakening the invertibility of the generator K, i.e. exchanging its invertibility KK = 1 to the regularity KKK = K. This leads to a weak Hopf algebra wslq (2) and a J-weak Hopf algebra vslq (2) which are studied in detail. It is shown that the monoids of group-like elements of wslq (2) and vslq (2) are regular monoids, which supports th...

A characterization result for behaviorally de nable classes of hidden algebras shows that a class of hidden algebras is behaviorally de nable by equations if and only if it is closed under coproducts, quotients, morphisms and representative inclusions. The second part of the paper categorically generalizes this result to a framework of any category with coproducts, a nal object and an inclusion...

It is proved in this paper that an irreducible module over the non-graded Virasoro-like algebra L, which satisfies a natural condition, is a GHW module or uniformly bounded. Furthermore, we give the complete classification of indecomposable L-modules V = ⊕ m,n∈Z Cvm,n which satisfy Lr,svm,n ⊆ Cvr+m,s+n+1 + Cvr+m,s+n.

We provide a classification of noninterference-based security properties for the formal analysis of secure information flow in concurrent and distributed systems. This is done in the setting of a process algebra modeling some Linda coordination primitives (asynchronous communication and read operation). For this purpose, we define relaxed notions of behavioural equivalence that take into accoun...

Two recent papers in Science [1, 2] suggest that infants well under a year old can learn from exposure to relatively short samples of language-like sequences of syllables. The first of these two papers, by Saffran and colleagues [1], suggested that infants were sensitive to the statistical structure of syllable sequences that they heard, in that they tended to listen longer to syllable sequence...

This paper is a proposal for a new two-tier calculus, designed to model aspects of CORBA-like systems at the CORBA object level. The higher object level known as Oompa abstracts away from the details of distribution (e.g. location and mobility), whereas the lower level, known as Loompa provides primitives for specifying these details. We present the syntax, and operational semantics, as well as...

We study some properties of the $SU(1,1)$ Perelomov number coherent states. The Schr\"odinger's uncertainty relationship is evaluated for a position and momentum-like operators (constructed from Lie algebra generators) in these It shown that this minimized standard obtain time evolution states by supposing Hamiltonian proportional to third generator $K_0$ $su(1,1)$ algebra. Analogous results $S...

A characterization result for behaviorally deenable classes of hidden algebras shows that a class of hidden algebras is behaviorally deenable by equations if and only if it is closed under coproducts, quotients, morphisms and representative inclusions. The second part of the paper categorically generalizes this result to a framework of any category with coproducts, a nal object and an inclusion...