Compatible root graded anti-pre-Lie algebraic structures on finite-dimensional complex simple Lie algebras
Abstract
We investigate the compatible root graded anti-pre-Lie algebraic structures on any finite-dimensional complex simple Lie algebra by the representation theory of sl2(). We show that there does not exist a compatible root graded anti-pre-Lie algebraic structure on a finite-dimensional complex simple Lie algebra except sl2(), whereas there is exactly one compatible root graded anti-pre-Lie algebraic structure on sl2().
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.