Towards a symplectic version of the Chevalley restriction theorem
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Towards a symplectic version of the Chevalley restriction theorem |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Bulois M, Lehn C, Lehn M, Terpereau R |
| Journal | COMPOSITIO MATHEMATICA |
| Volume | 153 |
| Pagination | 647-666 |
| Date Published | MAR |
| Type of Article | Article |
| ISSN | 0010-437X |
| Mots-clés | polar representation, reductive group, symplectic reduction, symplectic variety |
| Résumé | If (G, V) is a polar representation with Cartan subspace c and Weyl group W, it is shown that there is a natural morphism of Poisson schemes c circle plus c* / W -> V circle plus V */// G. This morphism is conjectured to be an isomorphism of the underlying reduced varieties if (G, V) is visible. The conjecture is proved for visible stable locally free polar representations and some other examples. |
| DOI | 10.1112/S0010437X16008277 |