On the case where Adjoint and Coadjoint Orbit Spaces are Symplectomorphic

Autor:	Batubenge, Augustin T., Haziyu, Wallace M.
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry 20D06 22E60 22F30 53D05 57R50
Druh dokumentu:	Working Paper
Popis:	Let G be an n-dimensional semisimple compact and connected Lie group acting on both the Lie algebra g of G and its dual g*. We show that a nondegenerate Killing form of G induces an Ad*-equivariant isomorphism of g onto g* which, in turn, induces by passage to quotients a symplectomorphism between adjoint and coadjoint orbit spaces of G.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.02507 Zobrazit plný text záznamu View this record from Arxiv