Orthogonal decompositions of classical Lie algebras over finite commutative rings

Published 7 Jan 2019 in math.RA | (1901.01655v1)

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 $R$.

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Songpon Sriwongsa

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