86 citations · 478 across the 67 of their papers we have counts for
8 papers · 1 filter
How to quantize the antibracket
Dimitry Leites, Irina Shchepochkina
The uniqueness of (the class of) deformation of Poisson Lie algebra has long been a completely accepted folklore. Actually, it is wrong as stated, because its validity depends on t…
Defining relations associated with the principal sl(2)-subalgebras of simple Lie algebras
Pavel Grozman, Dimitry Leites
The notion of defining relations is well-defined for any nilpotent Lie algebra. Therefore a conventional way to present a simple Lie algebra G is by splitting it into the direct su…
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…