Braided central elements

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dc.creatorRozhkovskaya, Natasha
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:47:22Z
dc.date.available2026-07-07T06:47:22Z
dc.descriptionWe present and study two families of polynomials with coefficients in the center of the universal enveloping algebra. These polynomials are analogues of a determinant and a characteristic polynomial of a certain non-commutative matrix, labeled by irreducible representations of gl(n,C). The matrix is an image of the universal R-matrix of a Yangian of gl(n,C) under certain representation. We compute the polynomials explicitly for gl(2,C) and establish connections between the first family of polynomials and higher Capelli identities through some sort of plethysm.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0510226
dc.identifierhttp://arxiv.org/abs/math/0510226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103629
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleBraided central elements
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