A universal dimension formula for complex simple Lie algebras

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dc.creatorLandsberg, J. M.
dc.creatorManivel, L.
dc.date2004-01-22
dc.date2005-02-01
dc.date.accessioned2026-07-07T05:04:46Z
dc.date.available2026-07-07T05:04:46Z
dc.descriptionWe present a universal formula for the dimension of the Cartan powers of the adjoint representation of a complex simple Lie algebra (i.e., a universal formula for the Hilbert functions of homogeneous complex contact manifolds), as well as several other universal formulas. These formulas generalize formulas of Vogel and Deligne and are given in terms of rational functions where both the numerator and denominator decompose into products of linear factors with integer coefficients. We also discuss some consequences of the formulas including a relation with Scorza varieties.
dc.descriptionTo appear in Advances in Math
dc.identifierhttps://arxiv.org/abs/math/0401296
dc.identifierhttp://arxiv.org/abs/math/0401296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69930
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleA universal dimension formula for complex simple Lie algebras
dc.typetext

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