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Moscow Mathematical Journal, 2003, Volume 3, Number 4, Pages 1395–1427
DOI: https://doi.org/10.17323/1609-4514-2003-3-4-1395-1427
(Mi mmj136)
 

This article is cited in 36 scientific papers (total in 36 papers)

Higher genus affine algebras of Krichever–Novikov type

M. Schlichenmaier

University of Luxembourg
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Abstract: For 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 algebras.
Key words and phrases: Krichever–Novikov algebras, central extensions, almost-grading, conformal field theory, infinite-dimensional Lie algebras, affine algebras, differential operator algebras, local cocycles.
Received: October 24, 2002
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Language: English
Citation: M. Schlichenmaier, “Higher genus affine algebras of Krichever–Novikov type”, Mosc. Math. J., 3:4 (2003), 1395–1427
Citation in format AMSBIB
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\by M.~Schlichenmaier
\paper Higher genus affine algebras of Krichever--Novikov type
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 4
\pages 1395--1427
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  • This publication is cited in the following 36 articles:
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