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Infinite dimensional primitive linearly compact Lie superalgebras

Nicoletta Cantarini·Victor Kac
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Abstract

We classify open maximal subalgebras of all infinite-dimensional linearly compact simple Lie superalgebras. This is applied to the classification of infinite-dimensional Lie superalgebras of vector fields, acting transitively and primitively in a formal neighborhood of a point of a finite-dimensional supermanifold.

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Nicoletta Cantarini, Victor Kac. 2005-11-16. Infinite dimensional primitive linearly compact Lie superalgebras. https://arxiv.org/abs/math/0511424

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