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arXiv · 2507.19719

A view toward the smooth geometry of Sklyanin algebras

Karol Herrera·Sebastián Higuera·Andrés Rubiano
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Abstract

We study the differential smoothness of Sklyanin algebras in three and four variables. We show that all non-degenerate three-dimensional cases are differentially smooth, while none of the four-dimensional Sklyanin algebras admit a connected integrable differential calculus of suitable dimension.

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Karol Herrera, Sebastián Higuera, Andrés Rubiano. 2025-07-26. A view toward the smooth geometry of Sklyanin algebras. https://arxiv.org/abs/2507.19719

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