A note on the differential smoothness of skew PBW extensions

2024/10/17 by Andrés Rubiano, Rubiano, Andrés, Armando Reyes +1 · 1 citation
Computer Science · Mathematics · #16E45 #16S30 #16S32 #16S36 #16S38 #16S99 #16T05 #16W20 #58B34 #Advanced Banach Space Theory #Advanced Topology and Set Theory #Differential Geometry (math.DG) #FOS: Mathematics #Optimization and Variational Analysis #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2410.13967

openalex publication_date 2024/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions.

Cited by

• A view toward the smooth geometry of Sklyanin algebras
• Differential smoothness of bi-quadratic algebras with PBW basis

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