We obtain a characterization of the isotropy lattice for the lifted action of a Lie group G on TM and based only on the knowledge of G and its action on M. Some applications to symplectic geometry are also shown.
Nous obtenons une caractérisation du réseau d'isotropie de l'action induite d'un groupe de Lie G sur TM et basée uniquement sur la connaissance de G et de son action sur M. Quelques applications en géométrie symplectique sont également donées.
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Miguel Rodríguez-Olmos 1
@article{CRMATH_2006__343_1_41_0, author = {Miguel Rodr{\'\i}guez-Olmos}, title = {The isotropy lattice of a lifted action}, journal = {Comptes Rendus. Math\'ematique}, pages = {41--46}, publisher = {Elsevier}, volume = {343}, number = {1}, year = {2006}, doi = {10.1016/j.crma.2006.05.012}, language = {en}, }
Miguel Rodríguez-Olmos. The isotropy lattice of a lifted action. Comptes Rendus. Mathématique, Volume 343 (2006) no. 1, pp. 41-46. doi : 10.1016/j.crma.2006.05.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.05.012/
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