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math.RT2005★ 19 cited
The analogs of Riemann and Penrose tensors on supermanifolds
Elena Poletaeva
The Spencer cohomology of certain graded Lie superalgebras are completely computed. This cohomology is interpreted as analogs of Riemann and Penrose tensors on supermanifolds. The…
math.RT2005★ 2 cited
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…