Representations of algebraic groups over a 2-dimensional local field

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dc.creatorGaitsgory, D.
dc.creatorKazhdan, D.
dc.date2003-02-14
dc.date2004-06-14
dc.date.accessioned2026-07-07T04:55:18Z
dc.date.available2026-07-07T04:55:18Z
dc.descriptionWe introduce a categorical framework for the study of representations of $G_F$, where $G$ is a reductive group, and $\bF$ 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 $G_F$ on itself by left translations, becomes a representation of a certain central extension of $G_F$, when we consider the action by right translations.
dc.descriptionRevised version
dc.identifierhttps://arxiv.org/abs/math/0302174
dc.identifierhttp://arxiv.org/abs/math/0302174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66529
dc.subjectRepresentation Theory
dc.titleRepresentations of algebraic groups over a 2-dimensional local field
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