1992/09/24 by Tom Lada, Jim Stasheff · 4 citations
Mathematics · Physics and Astronomy · #Adjoint representation #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Algebraic structure #Black Holes and Theoretical Physics #Field (mathematics) #Generalization #Lie algebra #Lie conformal algebra #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Representation theory #String (physics) #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1007/bf00671791
published as Int.J.Theor.Phys. 32 (1993) 1087-1104 · 14 pages AMSTEX, UNC-MATH-92/2
arxiv created 1992/09/24 · openalex publication_date 1993/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic structures. It also appeared in work on higher spin particles \citeBBvD. Representation theoretic analogs arose in the mathematical analysis of the Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal of this paper is to see the relevant formulas, especially in closed string field theory, as a generalization of those for a differential graded Lie algebra, hopefully describing the mathematical essentials in terms accessible to \it physicists.