Geodesic
Lax Operator Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 46-59

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In this paper we develop a general concept of Lax operators on algebraic curves introduced in [I. M. Krichever, Comm. Math. Phys., 229, 2 (2002), 229–269]. 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.
Keywords: Lax operators, current algebras, Tyurin data, almost graded structure, local central extension. 
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     author = {I. M. Krichever and O. K. Sheinman},
     title = {Lax {Operator} {Algebras}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {46--59},
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     volume = {41},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2007_41_4_a3/}
}
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I. M. Krichever; O. K. Sheinman. Lax Operator Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 46-59. http://geodesic.mathdoc.fr/item/FAA_2007_41_4_a3/