Universal deformation formulas

2013/08/16 by Elisabeth Remm, Martin Markl, Remm, Elisabeth +1
Mathematics · #13D10 #58H15 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1308.3589

openalex publication_date 2013/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a conceptual explanation of universal deformation formulas for unital associative algebras and prove some results on the structure of their moduli spaces. We then generalize universal deformation formulas to other types of algebras and their diagrams.

Citations

• Lectures on Noncommutative Geometry
• (Non-)Koszulness of operads for n-ary algebras, galgalim and other\n curiosities

Related

• A construction of deformations to general algebras
• New Universal Deformation Formulas for deformation quantization
• A comparison of deformations and geometric study of associative algebras varieties
• On the deformation theory of structure constants for associative algebras
• Three deformation functors for associative algebras