The Fermion Model of Representations of Affine Krichever--Novikov Algebras

Details The Fermion Model of Representations of Affine Krichever--Novikov Algebras The Fermion Model of Representations of Affine Krichever--Novikov Algebras

2002-04-13

arxiv.org/abs/math/0204178v1

Funktsional'nyi Analiz i Ego Prilozheniya, vol. 35(2001), N 3, pp. 60--72

Mathematics

Representation Theory

AMS LaTeX, 11 pages

Scientific paper

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.

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