Algebra gl(λ) inside the algebra of differential operators on the real line

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dc.creatorGargoubi, Hichem
dc.date2003-02-03
dc.date.accessioned2026-07-07T04:54:52Z
dc.date.available2026-07-07T04:54:52Z
dc.descriptionThe 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.
dc.descriptionarxiv version is already official
dc.identifierhttps://arxiv.org/abs/math/0302027
dc.identifierhttp://arxiv.org/abs/math/0302027
dc.identifierJ. Nonlinear Math. Phys., volume 9, no. 3 (2002) 248-255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66431
dc.subjectQuantum Algebra
dc.titleAlgebra gl(λ) inside the algebra of differential operators on the real line
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