Smooth group representations on bornological vector spaces

Details Smooth group representations on bornological vector spaces Smooth group representations on bornological vector spaces

2003-10-07

arxiv.org/abs/math/0310094v2

Mathematics

Functional Analysis

I corrected a mistake in the last section and added a french abstract

Scientific paper

We develop the basic theory of smooth representations of locally compact groups on bornological vector spaces. In this setup, we are able to formulate better general theorems than in the topological case. Still, smooth representations of totally disconnected groups on vector spaces and of Lie groups on Frechet spaces remain special cases of our theory. We identify smooth representations with essential modules over an appropriate convolution algebra. We examine smoothening functors on representations and modules and show that they agree if they are both defined. We establish the basic properties of induction and compact induction functors using adjoint functor techniques. We describe the center of the category of smooth representations.

Affiliated with

Also associated with

No associations

Rating

Smooth group representations on bornological vector spaces 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 Smooth group representations on bornological vector spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smooth group representations on bornological vector spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320776