[en] Krichever--Novikov type algebras are generalizations of the Witt,
Virasoro, affine Lie algebras, and their relatives to Riemann
surfaces of arbitrary genus.
We give the most important results about their structure,
almost-grading and central extensions.
This contribution is based on a sequence of
introductory lectures delivered by the
author
at the
Southeast Lie Theory Workshop 2012 in Charleston, U.S.A.
Disciplines :
Mathematics
Author, co-author :
Schlichenmaier, Martin ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit