First Order Optimum Calculi
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
A new notion of an optimum first order calculi was introduced in [Borowiec, Kharchenko and Oziewicz, 1993]. A module of vector fields for a coordinate differential is defined. Some examples of optimal algebras for homogeneous bimodule commutations are presented. Classification theorem for homogeneous calculi with commutative optimal algebras in two variables is proved.
Cite
@article{arxiv.q-alg/9501024,
title = {First Order Optimum Calculi},
author = {A. Borowiec and V. K. Kharchenko},
journal= {arXiv preprint arXiv:q-alg/9501024},
year = {2008}
}
Comments
to be published in Banach Center Publications, in the Proc. of the Banach Center Symposium 1994 on "Generalizations of Complex Analysis and Their Applications in Physics" Ed. by J. Lawrynowicz, 14 pages, TeX