Smooth geometry of graded skew Clifford algebras

2025/11/19 by Rubiano, Andrés
#16E65 #16S38 #16W50 #58B32 #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2511.15113

Abstract

In this paper, we investigate the differential smoothness of graded skew Clifford algebras.

Citations

• A view toward the smooth geometry of Sklyanin algebras
• Bi-quadratic algebras on 3 generators with PBW: class II.1
• Description of bi-quadratic algebras on 3 generators with PBW basis
• On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras
• Graded Clifford Algebras and Graded Skew Clifford Algebras and Their Role in the Classification of Artin-Schelter Regular Algebras
• Generalized Weyl algebras and diskew polynomial rings
• Differential smoothness of skew polynomial rings
• The Interplay of Algebra and Geometry in the Setting of Regular Algebras
• 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
• Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras
• Non-commutative integral forms and twisted multi-derivations
• On the Hochschild (co)homology of Quantum Homogeneous Spaces
• Non-commutative connections of the second kind
• The Serre spectral sequence of a noncommutative fibration for de Rham cohomology

Related

• Differential smoothness of skew polynomial rings
• On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras
• Geometry of Regular Algebras of Global Dimension 4 related to Graded Skew Clifford Algebras of Global Dimension 3
• Skew Clifford Algebras
• On differential smoothness of certain Artin-Schelter regular algebras of dimension 5