Higher genus affine algebras of Krichever - Novikov type

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dc.creatorSchlichenmaier, Martin
dc.date2002-10-23
dc.date2003-01-02
dc.date.accessioned2026-07-07T04:52:16Z
dc.date.available2026-07-07T04:52:16Z
dc.descriptionFor higher genus multi-point current algebras of Krichever-Novikov type associated to a finite-dimensional Lie algebra, local Lie algebra two-cocycles are studied. They yield as central extensions almost-graded higher genus affine Lie algebras. In case that the Lie algebra is reductive a complete classification is given. For a simple Lie algebra, like in the classical situation, there is up to equivalence and rescaling only one non-trivial almost-graded central extension. The classification is extended to the algebras of meromorphic differential operators of order less or equal one on the currents algebra.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0210360
dc.identifierhttp://arxiv.org/abs/math/0210360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65404
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject17B67, 17B56, 17B66, 14H55, 17B65, 30F30, 81R10, 81T40
dc.titleHigher genus affine algebras of Krichever - Novikov type
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