Abstract
The Lie algebra gl(λ) with λ ∈ ℂ, introduced by B L Feigin, can be embedded into the Lie algebra of differential operators on the real line (see [7]). We give an explicit formula of the embedding of gl(λ) into the algebra of differential operators on the space of tensor densities of degree λ on ℝ. Our main tool is the notion of projectively equivariant symbol of a differential operator.
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