Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations

Details Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations

2004-09-28

arxiv.org/abs/math/0409543v2

Mathematics

Representation Theory

Scientific paper

Let $G$ be a split reductive group over a local field $\bK$, and let $G((t))$ be the corresponding loop group. In \cite{GK} we have introduced the notion of a representation of (the group of $\bK$-points) of $G((t))$ on a pro-vector space. In addition, we have defined an induction procedure, which produced $G((t))$-representations from usual smooth representations of $G$. We have conjectured that the induction of a cuspidal irreducible representation of $G$ is irreducible. In this paper we prove this conjecture for $G=SL_2$.

Affiliated with

Also associated with

No associations

Rating

Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-530985