A class of differential quadratic algebras and their symmetries (Q1731735)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of differential quadratic algebras and their symmetries |
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A class of differential quadratic algebras and their symmetries (English)
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14 March 2019
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Summary: We study a multi-parametric family of quadratic algebras in four generators, which includes coordinate algebras of noncommutative four-planes and, as quotient algebras, noncommutative three-spheres. Particular subfamilies comprise Sklyanin algebras and Connes-Dubois-Violette planes. We determine quantum groups of symmetries for the general algebras and construct finite-dimensional covariant differential calculi.
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quadratic algebras
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noncommutative planes and spheres
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covariant differential calculi
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bialgebras and quantum groups
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Sklyanin algebras
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