A simple question about a complicated object

Details A simple question about a complicated object A simple question about a complicated object

2000-03-28

arxiv.org/abs/math/0003183v2

Mathematics

Representation Theory

4 pages, TeX

Scientific paper

Let n and k be positive integers with and k < n. Then of course SU(k,1) is contained into SU(n,1). Moreover, which is less clear - but proved by Khoroshkin -, the representation theory of SU(k,1) at the generalized infinitesimal character of the trivial module can be fully (and even Ext-fully) embedded into that of SU(n,1). Here is the obvious bet: This embedding is implemented by the cohomological induction functor. I conjecture that a similar phenomenon occurs whenever SU(k,1) is a Levi factor of a theta stable parabolic subalgebra of a reductive group.

Affiliated with

Also associated with

No associations

Rating

A simple question about a complicated object 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 A simple question about a complicated object, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A simple question about a complicated object will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199319