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arXiv · 1701.02281

A class of differential quadratic algebras and their symmetries

Giovanni Landi·Chiara Pagani
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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. We determine quantum groups of symmetries for the general algebras and construct finite-dimensional covariant differential calculi.

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Giovanni Landi, Chiara Pagani. 2017-01-09. A class of differential quadratic algebras and their symmetries. https://arxiv.org/abs/1701.02281

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