Orthogonal decompositions of classical Lie algebras over finite commutative rings
classification
🧮 math.RA
keywords
orthogonalalgebracommutativedecompositionsfinitespecialadditionallyalgebras
read the original abstract
Let $R$ 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 $R$. Additionally, we study orthogonal decompositions of the symplectic Lie algebra and the special orthogonal Lie algebra over $R$.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.