Lax operator algebras

Details Lax operator algebras Lax operator algebras

2007-01-23

arxiv.org/abs/math/0701648v4

Funct.Anal.Appl.41:284-294,2007

Mathematics

Representation Theory

16 pages; LaTeX; in the current version some references are corrected, the statement of the Th. 4.9 is retrieved from version

Scientific paper

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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