Smooth geometry of bi-quadratic algebras on three generators with PBW basis

2024/08/29 by Rubiano, Andrés, Reyes, Armando · 2 citations
#16S30 #16S32 #16S36 #16S38 #16S99 #16T05 #58B32 #Category Theory (math.CT) #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2408.16648

Abstract

In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.

Cited by

• A view toward the smooth geometry of Sklyanin algebras
• On differential smoothness of certain Artin-Schelter regular algebras of dimension 5

Related

• Differential smoothness of bi-quadratic algebras with PBW basis
• Description of bi-quadratic algebras on 3 generators with PBW basis
• Bi-quadratic algebras on 3 generators with PBW: class II.1
• Classification of quadratic and cubic PBW algebras on three generators
• Smooth geometry of skew PBW extensions over commutative polynomial rings I