Lie quasi-states
Representation Theory
2009-09-01 v2 Symplectic Geometry
Abstract
Lie quasi-states on a real Lie algebra are functionals which are linear on any abelian subalgebra. We show that on the symplectic Lie algebra of rank at least 3 there is only one continuous non-linear Lie quasi-state (up to a scalar factor, modulo linear functionals). It is related to the asymptotic Maslov index of paths of symplectic matrices.
Cite
@article{arxiv.0906.4901,
title = {Lie quasi-states},
author = {Michael Entov and Leonid Polterovich},
journal= {arXiv preprint arXiv:0906.4901},
year = {2009}
}
Comments
Minor corrections