Irreducible highest-weight modules and equivariant quantization

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dc.creatorKarolinsky, E.
dc.creatorStolin, A.
dc.creatorTarasov, V.
dc.date2005-07-17
dc.date.accessioned2026-07-07T05:21:46Z
dc.date.available2026-07-07T05:21:46Z
dc.descriptionWe generalize the results of [KMST] concerning equivariant quantization by means of Verma modules $M(λ)$ for generic weight $λ$ to the case of general $λ$. We consider the relationship between the Shapovalov form on an irreducible highest weight module of a semisimple complex Lie algebra, fusion elements, and equivariant quantization. We also discuss some limiting properties of fusion elements. [KMST] E. Karolinsky and A. Stolin, Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization, Lett. Math. Phys., 71 (2005), p.179-197; e-print math.QA/0309203.
dc.descriptionLatex, 19 pages
dc.identifierhttps://arxiv.org/abs/math/0507348
dc.identifierhttp://arxiv.org/abs/math/0507348
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75812
dc.subjectQuantum Algebra
dc.titleIrreducible highest-weight modules and equivariant quantization
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