Branching problems of Zuckerman derived functor modules

Details Branching problems of Zuckerman derived functor modules Branching problems of Zuckerman derived functor modules

2011-04-22

arxiv.org/abs/1104.4399v3

Contemporary Matehmatics, vol. 557, (2011), pp.23-40, Amer. Math. Soc

Mathematics

Representation Theory

Proceedings of Conference in honor of Gregg Zuckerman's 60th birthday at Yale in 2009 (v3: fixed 3 typos)

Scientific paper

We discuss recent developments on branching problems of irreducible unitary representations $\pi$ of real reductive groups when restricted to reductive subgroups. Highlighting the case where the underlying $(g,K)$-modules of $\pi$ are isomorphic to Zuckerman's derived functor modules $A_q(\lambda)$, we show various and rich features of branching laws such as infinite multiplicities, irreducible restrictions, multiplicity-free restrictions, and discrete decomposable restrictions. We also formulate a number of conjectures.

Affiliated with

Also associated with

No associations

Rating

Branching problems of Zuckerman derived functor modules 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 Branching problems of Zuckerman derived functor modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branching problems of Zuckerman derived functor modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330491