Representations of algebraic groups over a 2-dimensional local field
By D. Gaitsgory, David Kazhdan. 2003
48 citations recorded by the source corpus.
AbstractWe 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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/58ab6732290e3af1ecfc8c633d22d0015274ff1e
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In Algebra and Number Theory
- L. Positselski
- David Kazhdan
- Alexander Braverman
- Michel van den Bergh
- Alexander I. Efimov
- D. Pomerleano
- Kevin Lin
In Geometry and Topology
- M. Patnaik
- Alexander Braverman
- David Kazhdan
- L. Positselski
- Michel van den Bergh
- D. Pomerleano
- Kevin Lin
- Alexander Polishchuk
In Mathematical Physics
- M. Patnaik
- Alexander Braverman
- David Kazhdan
- L. Positselski
- Michel van den Bergh
- Alexander Polishchuk
- D. Pomerleano
- Kevin Lin
Citations in the corpus
- Iwahori–Hecke algebras for p-adic loop groups (2014, background): “This work was then extended by the second-named author in several directions [9–11].”
- Homological algebra of semimodules and semicontramodules. Semi-infinite homological algebra of assoc (2007, background): “This subsection contains some comments on the papers [23, 24].”