Higher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie Algebras

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dc.creatorGolenishcheva-Kutuzova, Maria
dc.date2004-11-22
dc.date2005-03-14
dc.date.accessioned2026-07-07T05:14:35Z
dc.date.available2026-07-07T05:14:35Z
dc.descriptionWe discuss the higher dimensional generalizations of the Virasoro and Affine Kac-Moody Lie algebras. We present an explicit construction for a central extensions of the Lie Algebra $Map (X, \g)$ where $\g$ is a finite-dimensional Lie algebra and $X$ is a complex manifold that can be described as a "right" higher-dimensional generalization of $C^*$ from the point of view of a corresponding group action. The constructed algebras have most of the good properties of finite dimensional semi-simple Lie algebras and are a new class of generalized Kac-Moody algebras. These algebras have description in terms of higher dimensional local fields.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0411491
dc.identifierhttp://arxiv.org/abs/math/0411491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73328
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R10
dc.titleHigher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie Algebras
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