How Dennis realized he had `invented' L_∞-algebras a.k.a. strongly homotopy Lie algebras

2016/09/24 by Jim Stasheff, Stasheff, Jim
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #History and Overview (math.HO) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1609.08401

openalex publication_date 2016/09/24 · openalex created_date 2016/10/07 · openalex updated_date 2026/07/28

Abstract

This is my attempt to rediscover how Dennis realized that he had discovered/invented L_∞-algebras a.k.a. strongly homotopy Lie algebras before my colleagues and I defined them.

Citations

• Deformation theory and rational homotopy type

Related

• L_∞ and A_∞ structures: then and now
• L_∞ algebra structures of Lie algebra deformations
• Examples of Homotopy Lie Algebras
• Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
• Homotopy relative Rota-Baxter Lie algebras, triangular L_∞-bialgebras and higher derived brackets