arXiv subjects

P. Stachura

Publications and source records attributed to P. Stachura.

2 recordsLinked to original sources

arXiv2006

Morphisms of locally compact groupoids endowed with Haar systems

The purpose of this paper is extend the notion of morphism of groupoids introduced by Zakrzewski to locally compact $σ$-compact groupoids endowed with Haar systems and to use the extension to construct a covariant functor from this category to a category of $C^{\ast}$-algebras in the sense of Woronowicz.

math.OA↗

arXiv1997

Double Lie algebras and Manin triples

The construction of Lie bialgebra from double Lie algebra is presented. It is used to relate some types of cobracket on inhomogenous so(p,q) algebras with double Lie algebra structures on so(p+1,q) or so(p,q+1). Also it is shown that the cobracket corresponding to kappa-deformation gives rise to complete Poisson-Lie Euclidean groups and non-complete Poincare groups.

q-alg↗