Representations of algebraic groups over a 2-dimensional local field

被引:0
作者
Dennis Gaitsgory
David Kazhdan
机构
[1] The University of Chicago,Department of Mathematics
[2] The Hebrew University of Jerusalem,Einstein Institute of Mathematics
来源
Geometric & Functional Analysis GAFA | 2004年 / 14卷
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摘要
We introduce a categorical framework for the study of representations of G(F), where G is a reductive group, and F is a 2-dimensional local field, i.e. F = K((t)), where K is a local field. Our main result says that the space of functions on G(F), which is an object of a suitable category of representations of G(F) with the respect to the action of G on itself by left translations, becomes a representation of a certain central extension of G(F), when we consider the action by right translations.
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页码:535 / 574
页数:39
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