Lax operator algebras
Representation Theory
2011-02-11 v4 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.math/0701648,
title = {Lax operator algebras},
author = {Igor M. Krichever and Oleg K. Sheinman},
journal= {arXiv preprint arXiv:math/0701648},
year = {2011}
}
Comments
16 pages; LaTeX; in the current version some references are corrected, the statement of the Th. 4.9 is retrieved from version 2.