Yangians and transvector algebras

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dc.creatorMolev, A. I.
dc.date1998-11-19
dc.date.accessioned2026-07-07T05:26:55Z
dc.date.available2026-07-07T05:26:55Z
dc.descriptionOlshanski's centralizer construction provides a realization of the Yangian for the Lie algebra gl(n) as a subalgebra in the projective limit of a chain of centralizers in the universal enveloping algebras. We give a modified version of this construction based on a quantum analog of Sylvester's theorem. We then use it to get an algebra homomorphism from the Yangian to the transvector algebra associated with the general linear Lie algebras. The results are applied to identify the elementary representations of the Yangian by constructing their highest vectors explicitly in terms of elements of the transvector algebra.
dc.descriptionLatex2e, 29 pages
dc.identifierhttps://arxiv.org/abs/math/9811115
dc.identifierhttp://arxiv.org/abs/math/9811115
dc.identifierDiscrete Math. 246 (2002), 231--253.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77737
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleYangians and transvector algebras
dc.typetext

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