3 papers
math.RA2026
Cohomology, Extensions and Deformations of restricted Lie triple systems
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to provide a cohomology theory of restricted Lie triple systems in low degrees and their algebraic interpretations. We define restricted cochains…
math.RA2026
Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to define and study the notion of restricted Rota-Baxter operator on restricted Lie algebras and restricted Lie triple systems. We provide the rel…
math.RA2026
Structure and Representations of Restricted Lie color triple systems
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to introduce and study restricted Lie color triple systems. We consider first restricted Lie color algebras and then provide a definition and rele…