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.
Infinite dimensional primitive linearly compact Lie superalgebras / CANTARINI N.; KAC V.G. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 207:(2006), pp. 328-419. [10.1016/j.aim.2006.02.013]
Infinite dimensional primitive linearly compact Lie superalgebras
CANTARINI, NICOLETTA;
2006
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.File in questo prodotto:
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