86 citations · 478 across the 67 of their papers we have counts for
5 papers · 2 filters
Defining relations for classical Lie algebras of polynomial vector fields
Dimitry Leites, Elena Poletaeva
We explicitly describe the defining relations for simple Lie algebra of vector fields with polynomial coefficients and its subalgebras of divergence free, hamiltonian and contact v…
Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices
Dimitry Leites, Alexander Sergeev
We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is a…
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…
Lie superalgebra structures in H*(g; g)
Pavel Grozman, Dimitry Leites
On a given manifold M, the Nijenhuis bracket makes the superspace of vector-valued differential forms into a Lie superalgebra that can be interpreted as the centralizer of the exte…
Structures of G(2) type and nonintegrable distributions in characteristic p
Pavel Grozman, Dimitry Leites
Lately we observe: (1) an upsurge of interest (in particular, triggered by a~paper by Atiyah and Witten) to manifolds with -type structure; (2) classifications are obtained o…