Jerusalem Mathematics Colloquium

Thursday, 6th May 2010, 4:00 pm
Mathematics Building, Lecture Hall 2

Michael Entov

"Almost linear functional on Lie algebras"


Assume you have a real-valued functional on a real Lie algebra whose restriction to any abelian subalgebra is linear. Does this functional have to be linear? If not, to which extent is such a non-linear functional unique? I will discuss how these questions are related to a mathematical model of quantum mechanics, symplectic topology and the structure of classical Lie algebras.

The talk is based on joint works with Leonid Polterovich.

Light refreshments will be served in the faculty lounge at 3:30.

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