Semi-infinite cohomology and superconformal algebras

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dc.creatorPoletaeva, Elena
dc.date2000-12-20
dc.date.accessioned2026-07-07T04:39:20Z
dc.date.available2026-07-07T04:39:20Z
dc.descriptionWe describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a non-degenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, which is analogous to the classical structure of the de Rham cohomology in Kähler geometry.
dc.description23 pages, TeX. To be published in Annales de l'Institut Fourier
dc.identifierhttps://arxiv.org/abs/math/0012195
dc.identifierhttp://arxiv.org/abs/math/0012195
dc.identifierAnn. Inst. Fourier (Grenoble) 51 (2001), no.3, 745-768.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60618
dc.subjectAlgebraic Geometry
dc.titleSemi-infinite cohomology and superconformal algebras
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