On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras

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dc.creatorHeckenberger, I.
dc.creatorKolb, S.
dc.date2006-05-17
dc.date.accessioned2026-07-07T07:14:19Z
dc.date.available2026-07-07T07:14:19Z
dc.descriptionA Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein-Gelfand-Gelfand resolution for symmetrizable Kac-Moody algebras are established. For quantized enveloping algebras with fixed complex nonzero deformation parameter q exactness is proven for all q which are not a root of unity.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0605460
dc.identifierhttp://arxiv.org/abs/math/0605460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112830
dc.subjectQuantum Algebra
dc.subject17B67; 17B37
dc.titleOn the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
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