26 citations · 51 across the 7 of their papers we have counts for
7 papers · 1 filter
Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations
Dennis Gaitsgory, David Kazhdan
Let be a split reductive group over a local field $\bK$, and let be the corresponding loop group. In \cite{GK} we have introduced the notion of a representation of (th…
On endoscopic decomposition of certain depth zero representations
David Kazhdan, Yakov Varshavsky
We construct an endoscopic decomposition for local L-packets associated to irreducible cuspidal Deligne-Lusztig representations. Moreover, the obtained decomposition is compatible…
Algebraic groups over a 2-dimensional local field: some further constructions
Dennis Gaitsgory, David Kazhdan
In math.RT/0302174 we developed a framework to study representations of groups of the form , where is an algebraic group over a local field . The main feature of thi…
Endoscopic decomposition of characters of certain cuspidal representations
David Kazhdan, Yakov Varshavsky
We construct an endoscopic decomposition for local L-packets associated to irreducible cuspidal Deligne-Lusztig representations. Moreover, the obtained decomposition is compatible…
Representations of algebraic groups over a 2-dimensional local field
D. Gaitsgory, D. Kazhdan
We introduce a categorical framework for the study of representations of , where is a reductive group, and $\bF$ is a 2-dimensional local field, i.e. , where …
Minimal representations: spherical vectors and automorphic functionals
David Kazhdan, Alexander Polishchuk
In the first part of this paper we study minimal representations of simply connected simple split groups of type or over local non-archimedian fields. Our main result i…