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arxiv: 1401.2418 · v1 · pith:ECGBINL7new · submitted 2014-01-10 · 🧮 math.SG · math.RT

Adjoint orbits of semi-simple Lie groups and Lagrangean submanifolds

classification 🧮 math.SG math.RT
keywords orbitsadjointlagrangeanrealizationssemi-simplesubmanifoldsdescribefamily
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We give various realizations of the adjoint orbits of a semi-simple Lie group and describe their symplectic geometry. We then use these realizations to identify a family of Lagrangean submanifolds of the orbits.

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