PBW and duality theorems for quantum groups and quantum current algebras

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dc.creatorEnriquez, B.
dc.date1999-04-21
dc.date1999-07-12
dc.date.accessioned2026-07-07T05:28:46Z
dc.date.available2026-07-07T05:28:46Z
dc.descriptionWe give proofs of the PBW and duality theorems for the quantum Kac-Moody algebras and quantum current algebras, relying on Lie bialgebra duality. We also show that the classical limit of the quantum current algebras associated with an untwisted affine Cartan matrix is the enveloping algebra of a quotient of the corresponding toroidal algebra; this quotient is trivial in all cases except the $A_1^{(1)}$ case.
dc.description44 pages, mistake in one proof corrected
dc.identifierhttps://arxiv.org/abs/math/9904113
dc.identifierhttp://arxiv.org/abs/math/9904113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78385
dc.subjectQuantum Algebra
dc.titlePBW and duality theorems for quantum groups and quantum current algebras
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