Infinite dimensional primitive linearly compact Lie superalgebras

Details Infinite dimensional primitive linearly compact Lie superalgebras Infinite dimensional primitive linearly compact Lie superalgebras

2005-11-16

arxiv.org/abs/math/0511424v1

Mathematics

Quantum Algebra

99 pages

Scientific paper

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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