2003/02/03 by Hichem Gargoubi
Mathematics · #math.QA
published as J. Nonlinear Math. Phys., volume 9, no. 3 (2002) 248-255 · arxiv version is already official
arxiv created 2003/02/03 · arxiv updated 2009/11/30
The Lie algebra gl(λ) with λ∈ \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 Dλ 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.