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 language | English |
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Title of host publication | Progress in Mathematics |
Publisher | Springer Basel |
Pages | 97-130 |
Number of pages | 34 |
DOIs | |
State | Published - 2006 |
Publication series
Name | Progress in Mathematics |
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Volume | 243 |
ISSN (Print) | 0743-1643 |
ISSN (Electronic) | 2296-505X |
Bibliographical note
Publisher Copyright:© 2006 Birkhäuser Boston.