Cohomology and Support Varieties for Lie Superalgebras

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dc.creatorBoe, Brian D.
dc.creatorKujawa, Jonathan R.
dc.creatorNakano, Daniel K.
dc.date2006-09-13
dc.date.accessioned2026-07-07T07:24:47Z
dc.date.available2026-07-07T07:24:47Z
dc.descriptionWe study cohomology for classical Lie superalgebras $\mathfrak{g}$ (e.g. gl(m|n)) over the complex numbers. Using results from invariant theory, we show that there exist subsuperalgebras which detect the cohomology of $\mathfrak{g}.$ Furthermore, drawing inspiration from finite groups and restricted Lie algebras, we introduce the notion of support varieties in this context. One can prove these varieties have many of the desirable properties of such a theory. They also appear to provide new interpretations for certain combinatorics associated with Lie superalgebras.
dc.descriptionSubmitted
dc.identifierhttps://arxiv.org/abs/math/0609363
dc.identifierhttp://arxiv.org/abs/math/0609363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116500
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject17B56
dc.titleCohomology and Support Varieties for Lie Superalgebras
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