First Order Optimum Calculi

Details First Order Optimum Calculi First Order Optimum Calculi

1995-01-23

arxiv.org/abs/q-alg/9501024v2

Mathematics

Quantum Algebra

to be published in Banach Center Publications, in the Proc. of the Banach Center Symposium 1994 on "Generalizations of Complex

Scientific paper

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.

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