Locally compact abelian groups with symplectic self-duality
Group Theory
2010-08-27 v1
Abstract
Is every locally compact abelian group which admits a symplectic self-duality isomorphic to the product of a locally compact abelian group and its Pontryagin dual? Several sufficient conditions, covering all the typical applications are found. Counterexamples are produced by studying a seemingly unrelated question about the structure of maximal isotropic subgroups of finite abelian groups with symplectic self-duality (where the original question always has an affirmative answer).
Cite
@article{arxiv.0906.4397,
title = {Locally compact abelian groups with symplectic self-duality},
author = {Amritanshu Prasad and Ilya Shapiro and M. K. Vemuri},
journal= {arXiv preprint arXiv:0906.4397},
year = {2010}
}
Comments
23 pages