Differential smoothness of bi-quadratic algebras with PBW basis

2025/05/19 by Rubiano, Andrés, Reyes, Armando · 1 citation
#16E45 #16S30 #16S32 #16S36 #16S38 #16S99 #16T05 #58B34 #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2505.13322

Abstract

We investigate the differential smoothness of bi-quadratic algebras with PBW basis.

Citations

• A note on the differential smoothness of skew PBW extensions
• Smooth Geometry of Diffusion Algebras
• Smooth geometry of skew PBW extensions over commutative polynomial rings I
• Smooth geometry of double extension regular algebras of type (14641)
• Bi-quadratic algebras on 3 generators with PBW: class II.1
• Artin-Schelter Regular Algebras
• Description of bi-quadratic algebras on 3 generators with PBW basis
• Differential smoothness of skew polynomial rings
• Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two
• Smooth geometry of the noncommutative pillow, cones and lens spaces
• Some homological properties of skew PBW extensions
• Non-commutative integral forms and twisted multi-derivations
• On the Hochschild (co)homology of Quantum Homogeneous Spaces
• Non-commutative connections of the second kind
• Double Ore Extensions
• Double Extension Regular Algebras of Type (14641)
• The Serre spectral sequence of a noncommutative fibration for de Rham cohomology
• Smooth *-algebras
• “Hidden symmetry” of Askey-Wilson polynomials
• Theory of Non-Commutative Polynomials

Cited by

• A view toward the smooth geometry of Sklyanin algebras

Related

• Smooth geometry of bi-quadratic algebras on three generators with PBW basis
• Description of bi-quadratic algebras on 3 generators with PBW basis
• Smooth geometry of skew PBW extensions over commutative polynomial rings I
• Smooth Geometry of Diffusion Algebras
• Bi-quadratic algebras on 3 generators with PBW: class II.1