Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type

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dc.creatorSchlichenmaier, Martin
dc.date2001-12-12
dc.date2003-01-02
dc.date.accessioned2026-07-07T04:45:12Z
dc.date.available2026-07-07T04:45:12Z
dc.descriptionMulti-point algebras of Krichever Novikov type for higher genus Riemann surfaces are generalisations of the Virasoro algebra and its related algebras. Complete existence and uniqueness results for local 2-cocycles defining almost-graded central extensions of the functions algebra, the vector field algebra, and the differential operator algebra (of degree \le 1) are shown. This is applied to the higher genus, multi-point affine algebras to obtain uniqueness for almost-graded central extensions of the current algebra of a simple finite-dimensional Lie algebra. An earlier conjecture of the author concerning the central extension of the differential operator algebra induced by the semi-infinite wedge representations is proved.
dc.description38 pages, Amslatex, some minor changes in Section 7
dc.identifierhttps://arxiv.org/abs/math/0112116
dc.identifierhttp://arxiv.org/abs/math/0112116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62873
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject17B66, 17B56, 17B67, 14H55, 17B65, 30F30, 81R10, 81T40
dc.titleLocal cocycles and central extensions for multi-point algebras of Krichever-Novikov type
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