The Fermion Model of Representations of Affine Krichever–Novikov Algebras

被引：0
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作者：
O. K. Sheinman
机构：
[1] Independent Moscow University,V. A. Steklov Mathematical Institute
来源：
Functional Analysis and Its Applications | 2001年 / 35卷
关键词：
Functional Analysis; Vector Bundle; Equivalent Representation; Algebraic Curve; Holomorphic Vector Bundle;
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摘要：
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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页码：209 / 219
页数：10
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