University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On the inverse problem for isometry groups of norms

On the inverse problem for isometry groups of norms

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

GR2W02 - Simple groups, representations and applications

 We study the problem of determining when a compact group can be realized as the group of isometries of a norm on a finite dimensional real vector space V.  We give a geometric characterization of such groups in terms of their vector closure. Using factorizations of compact Lie groups as well as a new characterization of irreducible prehomogeneous spaces, we prove that every compact connected subgroup of linear transformations can be realized as the connected component of the identity of the isometry group of some norm on V, except for an explicit list of exceptions. (joint work with Martin Liebeck, Assaf Naor and Aluna Rizzoli)

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity