Orthogonal decompositions of classical Lie algebras over finite commutative rings
arXiv:1901.01655
Abstract
Let be a finite commutative ring with identity. In this paper, we give a necessary condition for the existence of an orthogonal decomposition of the special linear Lie algebra over . Additionally, we study orthogonal decompositions of the symplectic Lie algebra and the special orthogonal Lie algebra over .