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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…
math.RT2002
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…