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Invariant operators on supermanifolds and standard models. (English) Zbl 1037.58003

Olshanetsky, M. et al., Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific (ISBN 981-238-072-8/hbk). 508-555 (2002).
From the abstract: “Here we continue to list the differential operators invariant with respect to the 15 exceptional simple Lie superalgebras \(\mathfrak g\) of polynomial vector fields”. The presentation is rather lengthy and yet it does not well express the mathematical background. Whether a vector field is polynomial depends on the coordinates under consideration
For the entire collection see [Zbl 1002.00011].

MSC:

58A50 Supermanifolds and graded manifolds
17B66 Lie algebras of vector fields and related (super) algebras