3 papers
math.QA2002
From Double Lie Groups to Quantum Groups
Piotr Stachura
It is shown that there is a -algebraic quantum group related to any double Lie group. An algebra underlying this quantum group is an algebra of a differential groupoid natural…
math.QA1999
Differential groupoids and -algebras
Piotr Stachura
The construction of a C*-algebra of a differential groupoid is presented. It is shown that it defines a covariant functor from the category of differential groupoids in a sense of…
q-alg1997
Double Lie algebras and Manin triples
P. Stachura
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 struct…