Coordinate Calculi on Associative Algebras
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9501018,
title = {Coordinate Calculi on Associative Algebras},
author = {A. Borowiec and V. K. Kharchenko},
journal= {arXiv preprint arXiv:q-alg/9501018},
year = {2008}
}
Comments
contribution to the Proc. XXX Winter School of Theoretical Physics in Karpacz 1994, 11 pages, LaTeX