2002/04/13 by O. K. Sheinman
Mathematics · #math.RT #msc:17B65
published as Funktsional'nyi Analiz i Ego Prilozheniya, vol. 35(2001), N 3, pp. 60--72 · AMS LaTeX, 11 pages
arxiv created 2002/04/13 · arxiv updated 2009/11/30
To a generic holomorphic vector bundle on an algebraic curve and an irreducible finite-dimensional representation of a semisimple Lie algebra, we assign a representation of the corresponding affine Krichever--Novikov algebra in the space of semi-infinite exterior forms. It is shown that equivalent pairs of data give rise to equivalent representations and vice versa.