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Global current algebras and localization on Riemann surfaces. (English) Zbl 1382.17013
Summary: In the present article, certain new Lie algebras of algebraic-geometrical nature, and their relations with the theory of finite-dimensional integrable systems are described.

MSC:
17B65 Infinite-dimensional Lie (super)algebras
17B80 Applications of Lie algebras and superalgebras to integrable systems
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
81R12 Groups and algebras in quantum theory and relations with integrable systems
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