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Infinite-dimensional primitive linearly compact Lie superalgebras |
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| Authors: | Nicoletta Cantarini Victor G. Kac |
| Affiliation: | a Dipartimento di Matematica Pura ed Applicata, Università di Padova, Padova, Italy b Department of Mathematics, MIT, Cambridge, MA 02139, USA |
| 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. |
| Keywords: | Linearly compact algebra Maximal open subalgebra Primitive Lie superalgebra Weisfeiler filtration Growth and size of filtered algebra Canonical invariant |
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