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Lax operator algebras

Igor M. Krichever·Oleg K. Sheinman
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Abstract

In this paper we develop a general concept of Lax operators on algebraic curves introduced in [1]. We observe that the space of Lax operators is closed with respect to their usual multiplication as matrix-valued functions. We construct the orthogonal and symplectic analogs of Lax operators, prove that they constitute almost graded Lie algebras and construct local central extensions of those Lie algebras.

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BibTeXRIS

Igor M. Krichever, Oleg K. Sheinman. 2010-04-15. Lax operator algebras. https://arxiv.org/abs/math/0701648

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