Coordinate Calculi on Associative Algebras
Abstract
Description
A new notion of an optimal algebra for a first order coordinate differential was introduced in \cite{BKO}. Some relevant examples are indicated. Quadratic identities in the optimal algebras and calculi on quadratic algebras are studied. Canonical construction of a quantum de Rham complex for the coordinate differential is proposed. The relations between calculi and various generalizations of the Yang--Baxter equation are established.
contribution to the Proc. XXX Winter School of Theoretical Physics in Karpacz 1994, 11 pages, LaTeX
contribution to the Proc. XXX Winter School of Theoretical Physics in Karpacz 1994, 11 pages, LaTeX