Coordinate Calculi on Associative Algebras

Details Coordinate Calculi on Associative Algebras Coordinate Calculi on Associative Algebras

1995-01-13

arxiv.org/abs/q-alg/9501018v1

Mathematics

Quantum Algebra

contribution to the Proc. XXX Winter School of Theoretical Physics in Karpacz 1994, 11 pages, LaTeX

Scientific paper

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.

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