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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…