The Poisson Characteristic Variety of Unitary Irreducible Representations of Exponential Lie Groups
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We recall the notion of Poisson characteristic variety of a unitary irreducible representation of an exponential solvable Lie group, and conjecture that it coincides with the Zariski closure of the associated coadjoint orbit. We prove this conjecture in some particular situations, including the nilpotent case.
KeywordsPoisson characteristic variety Representations Coadjoint orbits Exponential groups Solvable Lie algebras
MSC Classification (2000)22E27 81S10
The authors would like to thank the Referee for having proposed some suggestions to improve the final form of the paper.
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