Orthogonal abelian Cartan subalgebra decomposition of $\mathfrak{sl}_n$ over a finite commutative ring

Songpon Sriwongsa; Yi Ming Zou

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Orthogonal abelian Cartan subalgebra decomposition of mathfrak{sl}_n over a finite commutative ring

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arxiv 1802.02275 v1 pith:33RGJFFB submitted 2018-02-07 math.RA

Orthogonal abelian Cartan subalgebra decomposition of mathfrak{sl}_n over a finite commutative ring

Songpon Sriwongsa , Yi Ming Zou This is my paper

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Orthogonal decomposition of the special linear Lie algebra over the complex numbers was studied in the early 1980s and attracted further attentions in the past decade due to its application in quantum information theory. In this paper, we study this decomposition problem of the special linear Lie algebra over a finite commutative ring with identity.

Orthogonal abelian Cartan subalgebra decomposition of mathfrak{sl}_n over a finite commutative ring

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