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.cWe determine quantum groups of symmetries for the general algebras and construct finite-dimensional covariant differential calculi.

A class of differential quadratic algebras and their symmetries

Landi, Giovanni;PAGANI, CHIARA
2018-01-01

Abstract

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.cWe determine quantum groups of symmetries for the general algebras and construct finite-dimensional covariant differential calculi.
2018
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https://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=12&iss=4&rank=8
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2935335
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