dorsal/arxiv
View SchemaCoordinate Calculi on Associative Algebras
| Authors | A. Borowiec, V. K. Kharchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501018 |
| URL | https://arxiv.org/abs/q-alg/9501018 |
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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"abstract": "A new notion of an optimal algebra for a first order coordinate differential\nwas introduced in \\cite{BKO}. Some relevant examples are indicated. Quadratic\nidentities in the optimal algebras and calculi on quadratic algebras are\nstudied. Canonical construction of a quantum de Rham complex for the coordinate\ndifferential is proposed. The relations between calculi and various\ngeneralizations of the Yang--Baxter equation are established.",
"arxiv_id": "q-alg/9501018",
"authors": [
"A. Borowiec",
"V. K. Kharchenko"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Coordinate Calculi on Associative Algebras",
"url": "https://arxiv.org/abs/q-alg/9501018"
},
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