Algebra gl(λ) inside the algebra of differential operators on the real line
Abstract
Description
The Lie algebra gl(λ) with λ\in \mathbb C, introduced by B.L.Feigin, can be embedded into the Lie algebra of differential operators on the real line. We give an explicit formula of the embedding of gl(λ) into the algebra D_λ of differential operators on the space of tensor densities of degree λon \mathbb R. Our main tool is the notion of projectively equivariant symbol of a differential operator.
arxiv version is already official
arxiv version is already official