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arXiv · 0906.4901

Lie quasi-states

Michael Entov·Leonid Polterovich
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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.

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BibTeXRIS

Michael Entov, Leonid Polterovich. 2009-09-01. Lie quasi-states. https://arxiv.org/abs/0906.4901

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