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

O. K. Sheinman
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Abstract

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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BibTeXRIS

O. K. Sheinman. 2002-04-13. The Fermion Model of Representations of Affine Krichever--Novikov Algebras. https://arxiv.org/abs/math/0204178

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