vix.ing · top · new · best · stats · spec

Coordinate Calculi on Associative Algebras

1995/01/13 by A. Borowiec, Borowiec, A., V. K. Kharchenko +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.q-alg/9501018

Abstract

A new notion of an optimal algebra for a first order coordinate differential was introduced in \citeBKO. 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.

Citations

Cited by

Related