Lax operator algebras |
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| Authors: | I M Krichever O K Sheinman |
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| Institution: | (1) Landau Institute for Theoretical Physics, USA;(2) Columbia University, New York;(3) Steklov Mathematical Institute, Russia;(4) Independent University of Moscow, Moscow |
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| Abstract: | In this paper, we develop the general approach, introduced in l], to Lax operators on algebraic curves. We observe that the space of Lax operators is closed with respect to their usual multiplication as matrix-valued functions. We construct orthogonal and symplectic analogs of Lax operators, prove that they form almost graded Lie algebras, and construct local central extensions of these Lie algebras. |
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| Keywords: | Lax operator current algebra Tyurin data almost graded structure local central extension |
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