Degenerations of Generalized Krichever Novikov algebras on Tori

Abstract

Degenerations of Lie algebras of meromorphic vector fields on elliptic curves (i.e. complex tori) which are holomorphic outside a certain set of points (markings) are studied. By an algebraic geometric degeneration process certain subalgebras of Lie algebras of meromorphic vector fields on P^1 the Riemann sphere are obtained. In case of some natural choices of the markings these subalgebras are explicitly determined. It is shown that the number of markings can change. AMS subject classification (1991): 17B66, 17B90, 14F10, 14H52, 30F30, 81T40

21 pages, amstex 2.1

References in corpus (1)

• String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras

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• Global Geometric Deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebra
• Differential Operator Algebras on compact Riemann Surfaces
• Extensions of superalgebras of Krichever-Novikov type
• $N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras
• Higher genus affine algebras of Krichever - Novikov type
• Superalgebras associated to Riemann surfaces: Jordan algebras of Krichever-Novikov type
• Higher Genus Affine Lie Algebras of Krichever -- Novikov Type
• Global Deformations of the Witt Algebra of Krichever-Novikov Type
• An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module
• Lie superalgebras of Krichever-Novikov type and their central extensions