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The analogs of the Riemann tensor for exceptional structures on supermanifolds
Pavel Grozman, Dimitry Leites, Irina Shchepochkina
H. Hertz called any manifold M with a given nonintegrable distribution {\it nonholonomic}. Vershik and Gershkovich stated and R. Montgomery proved that the space of germs of any no…
Generalizations of the Lie superalgebras of supermatrices of complex size and related topics
Pavel Grozman, Dimitry Leites
A class of simple filtered Lie algebras of polynomial growth with increasing filtration is distinguished and presentations of these algebras are explicitely described for the simpl…
Defining relations for classical Lie superalgebras without Cartan matrices
Pavel Grozman, Dimitry Leites, Elena Poletaeva
The analogs of Chevalley generators are offered for simple (and close to them) Z-graded complex Lie algebras and Lie superalgebras of polynomial growth without Cartan matrix. We sh…