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arxiv: math/0511424 · v1 · pith:VHF55FMWnew · submitted 2005-11-16 · 🧮 math.QA

Infinite dimensional primitive linearly compact Lie superalgebras

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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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