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Classification of Frobenius, two-step solvable Lie poset algebras

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arxiv 2004.00169 v1 pith:WEJG74TI submitted 2020-03-31 math.RA

classification math.RA
keywords algebrasposetsolvabletwo-stepabsolutelyalgebraclassclassification
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We show that the isomorphism class of a two-step solvable Lie poset subalgebra of a semisimple Lie algebra is determined by its dimension. We further establish that all such algebras are absolutely rigid.

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