Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1}

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dc.creatorChari, Vyjayanthi
dc.creatorLoktev, Sergei
dc.date2005-02-08
dc.date2007-01-13
dc.date.accessioned2026-07-07T07:40:09Z
dc.date.available2026-07-07T07:40:09Z
dc.descriptionWe construct a Poincare-Birkhoff-Witt type basis for the Weyl modules of the current algebra of $sl_{r+1}$. As a corollary we prove a conjecture made by Chari and Pressley on the dimension of the Weyl modules in this case. Further, we relate the Weyl modules to the fusion modules of the current algebra defined by Feigin and Loktev, and to the Demazure modules in level one representations of the corresponding affine algebra. In particular, this allows us to establish substantial cases of the conjectures of Feigin and Loktev on the structure and graded character of the fusion modules.
dc.description26 pages, LaTeX; final version, minor changes
dc.identifierhttps://arxiv.org/abs/math/0502165
dc.identifierhttp://arxiv.org/abs/math/0502165
dc.identifierAdvances in Mathematics, 207 (2006), 928-960
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121695
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B67
dc.titleWeyl, Fusion and Demazure modules for the current algebra of sl_{r+1}
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