Non-abelian extensions of Lie triple systems and Wells exact sequences
Abstract
In this paper, we investigate non-abelian extensions and inducibility of pairs of automorphisms of Lie triple systems. First, we introduce non-abelian cohomology groups and classify non-abelian extensions in terms of non-abelian cohomology groups. Next, we characterize non-abelian extensions using Maurer–Cartan elements. Furthermore, we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of Lie triple systems. Finally, we state the previous results under the context of abelian extensions of Lie triple systems.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of Lie Theory
- Volume
- 0
- Pages
- 1–22
- Publication date
- 1 January 2026
- Language
- EN