Ext^1-quivers for the Witt algebra W(1,1)

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dc.creatorBoe, Brian D.
dc.creatorNakano, Daniel K.
dc.creatorWiesner, Emilie
dc.date2008-05-15
dc.date.accessioned2026-07-07T09:39:06Z
dc.date.available2026-07-07T09:39:06Z
dc.descriptionLet g be the finite dimensional Witt algebra W(1,1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W(1,1)-modules are finite dimensional. Each simple module admits a character χin g^*. Given such a χone can form the (finite dimensional) reduced enveloping algebra u(g,χ). The simple modules for u(g,χ) are precisely those simple W(1,1)-modules admitting the character χ. In this paper the authors compute Ext^1 between pairs of simple modules for u(g,χ).
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0805.2313
dc.identifierhttp://arxiv.org/abs/0805.2313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161049
dc.subjectRepresentation Theory
dc.subject17B55 (Primary); 17B68 (Secondary)
dc.titleExt^1-quivers for the Witt algebra W(1,1)
dc.typetext

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