Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/tg2007/talks/Sheinman.pdf Дата изменения: Tue Nov 27 18:03:09 2007 Дата индексирования: Tue Oct 2 11:50:18 2012 Кодировка: Поисковые слова: http astrokuban.info astrokuban

O. K. Sheinman Steklov Mathematical Institute Moscow, Russia sheinman@mi.ras.ru

Lax op erator algebras
Lax operator algebras form a new class of current algebras on Riemann surfaces introduced in connection with integrable systems. They generalize Kac-Moody and Krichever-Novikov algebras but, unlike those, do not split into the tenzor product of any finite-dimensional Lie algebra and a functional algebra. They possess an almost graded structure and a unique (up to equaivalence) central extension. The talk is based on the recent joint results of I. M. Krichever, M. Schlichenmaier and the author.

1