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Semisimple algebras of vector fields on C^N of maximal rank

Published 19 Sep 2023 in math.RT and math.DS | (2309.10545v2)

Abstract: A classification of semisimple algebras of vector fields on CN that have a Cartan subalgebra of dimension N is given. The proof uses basic representation theory and the local canonical form of semisimple Lie algebras of vector fields.

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