Algebraic groups over a 2-dimensional local field: Some further constructions

Dennis Gaitsgory, David Kazhdan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

5 Scopus citations

Abstract

In [GK] we developed a framework to study representations of groups of the form G((t)), where G is an algebraic group over a local field K. The main feature of this theory is that natural representations of groups of this kind are not on vector spaces, but rather on pro-vector spaces. In this paper we present some further constructions related to this theory. The main results include: 1) General theorems insuring representability of covariant functors, 2) Study of the functor of semi-invariants, which is an analog of the functor of semi-infinite cohomology for infinite-dimensional Lie algebras, 3) Construction of representations from the moduli space of G-bundles on algebraic curve over K.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages97-130
Number of pages34
DOIs
StatePublished - 2006

Publication series

NameProgress in Mathematics
Volume243
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Bibliographical note

Publisher Copyright:
© 2006 Birkhäuser Boston.

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