Lax operator algebras
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 matrixvalued 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2007
 DOI:
 10.48550/arXiv.math/0701648
 arXiv:
 arXiv:math/0701648
 Bibcode:
 2007math......1648K
 Keywords:

 Mathematics  Representation Theory;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 16 pages