Lax operator algebras and gradings on semi-simple Lie algebras
arXiv:1406.5017 · doi:10.1007/s00031-015-9340-y
Abstract
A Lax operator algebra is constructed for an arbitrary semi-simple Lie algebra over equipped with a -grading, and arbitrary compact Riemann surface with marked points. In this set-up, a treatment of almost graded structures, and classification of the central extensions of Lax operator algebras are given. A relation to the earlier approach based on the Tyurin parameters is established.
18 pages, 6 figures, PDFLaTeX