Invariant Differential Operators and FCR factors of Enveloping algebras

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dc.creatorMusson, Ian M.
dc.creatorWillenbring, Jeb F.
dc.date2004-09-28
dc.date2007-03-16
dc.date.accessioned2026-07-07T07:52:03Z
dc.date.available2026-07-07T07:52:03Z
dc.descriptionIf $\fg$ is a semisimple Lie algebra, we describe the prime factors of $\mcU(\fg)$ that have enough finite dimensional modules. The proof depends on some combinatorial facts about the Weyl group which may be of independent interest. We also determine, which finite dimensional $\mcU(\fg)$-modules are modules over a given prime factor. As an application we study finite dimensional modules over some rings of invariant differential operators arising from Howe duality.
dc.description15 pages, updated version
dc.identifierhttps://arxiv.org/abs/math/0409561
dc.identifierhttp://arxiv.org/abs/math/0409561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125738
dc.subjectRepresentation Theory
dc.titleInvariant Differential Operators and FCR factors of Enveloping algebras
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