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arXiv · q-alg/9501018

Coordinate Calculi on Associative Algebras

A. Borowiec·V. K. Kharchenko
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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.

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BibTeXRIS

A. Borowiec, V. K. Kharchenko. 1995-01-13. Coordinate Calculi on Associative Algebras. https://arxiv.org/abs/q-alg/9501018

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