2 citations · 3 across the 3 of their papers we have counts for
6 papers
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…
On representations of the exceptional superconformal algebra
Elena Poletaeva
We realize the exceptional superconformal algebra , spanned by 32 fields, inside the Lie superalgebra of pseudodifferential symbols on the supercircle . We obtain a…
On Einstein equations on manifolds and supermanifolds
D. Leites, E. Poletaeva, V. Serganova
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M become…
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…
Contact superconformal algebras and their representations
Elena Poletaeva
This is a brief overview of my work on the realization of contact superconformal algebras in terms of pseudodifferential symbols on a supercircle. Also the 2-cocycles on K'(4) are…
Semi-infinite cohomology and superconformal algebras
Elena Poletaeva
We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the…