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Infinite dimensional primitive linearly compact Lie superalgebras

Nicoletta Cantarini, Victor Kac

math.QAarXiv:math/0511424

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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