English

Short $SL_2$-structures on simple Lie algebras

Representation Theory 2022-06-29 v1 Symplectic Geometry

Abstract

Throughout the papers of E.B. Vinberg some non-abelian gradings of simple Lie algebras were introduced and investigated, namely short SO3SO_3 - and SL3SL_3 - structures. We study another kind of them -- short SL2SL_2 - structures. The main results relate to one-to-one corresponding between such structures and some special Jordan algebras.

Keywords

Cite

@article{arxiv.2206.13735,
  title  = {Short $SL_2$-structures on simple Lie algebras},
  author = {R. O. Stasenko},
  journal= {arXiv preprint arXiv:2206.13735},
  year   = {2022}
}
R2 v1 2026-06-24T12:06:21.682Z