Some examples of Hecke algebras over 2-dimensional local fields

Mathematics – Representation Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Dedicated to G.Lusztig on the occasion of his 60th birthday

Scientific paper

Let K be a local non-archimedian field, F=K((t)) and let G be a split semi-simple group. The purpose of this paper is to study certain analogs of spherical (and Iwahori) Hecke algebras for representations of the group G(F) and its central extension by means of K*. For instance our spherical Hecke algebra corresponds to the subgroup G(A) where A is the subring $\calO_K((t))$ where $\calO_K\subset K$ is the ring of integers. It turns out that for generic level the spherical Hecke algebra is trivial; however, on the critical level it is quite large. On the other hand we expect that the size of the corresponding Iwahori-Hecke algebra does not depend on a choice of a level (details will be considered in another publication).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Some examples of Hecke algebras over 2-dimensional local fields 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 Some examples of Hecke algebras over 2-dimensional local fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some examples of Hecke algebras over 2-dimensional local fields will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-555656

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.