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Classification of $4$-dimensional complex Poisson algebras

Published 9 Oct 2024 in math.RT | (2410.07957v1)

Abstract: The present paper is devoted to the complete classification of $4$-dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex commutative associative algebras of dimension $4$, as well as by using a Lie algebra classification, up to isomorphism.

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