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A note on symplectic and Poisson linearization of semisimple Lie algebra actions

Autor
Miranda, E.
Tipus d'activitat
Document cientificotècnic
Data
2015-03
Projecte finançador
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repositori
http://hdl.handle.net/2117/26960 Obrir en finestra nova
URL
http://arxiv.org/pdf/1503.03840v1.pdf Obrir en finestra nova
Resum
In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields in a neighbourhood of a common zero. We also provide an example of smooth non-linearizable Hamiltonian action with semisimple linear part. The smooth analogue only holds if the semisimple Lie algebra is of compact type. An analytic equivariant b-Darboux theorem for b-Poisson mani...
Citació
Miranda, E. "A note on symplectic and Poisson linearization of semisimple Lie algebra actions". 2015.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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