Differential Operator Algebras on compact Riemann Surfaces

Schlichenmaier, Martin

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URL:	http://ub-madoc.bib.uni-mannheim.de/1318
URN:	urn:nbn:de:bsz:180-madoc-13182
Document Type:	Working paper
Year of publication:	1993
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Abstract:	This talk reviews results on the structure of algebras consisting of meromorphic differential operators which are holomorphic outside a finite set of points on compact Riemann surfaces. For each partition into two disjoint subsets of the set of points where poles are allowed, a grading of the algebra and of the modules of lambda - forms is introduced. With respect to this grading the Lie structure of the algebra and of the modules are almost graded ones. Central extensions and semi-infinite wedge representations are studied. If one considers only differential operators of degree 1 then these algebras are generalizations of the Virasoro algebra in genus zero, resp. of Krichever Novikov algebras in higher genus.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

Schlichenmaier, Martin (1993) Differential Operator Algebras on compact Riemann Surfaces.

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