Mathematics – Representation Theory
Scientific paper
2009-06-26
Mathematics
Representation Theory
Minor corrections
Scientific paper
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.
Entov Michael
Polterovich Leonid
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