论文标题
在伴随和共同连接轨道空间是符号切除型的情况下
On the case where Adjoint and Coadjoint Orbit Spaces are Symplectomorphic
论文作者
论文摘要
令G为n维半神经紧凑型和连接的谎言组，该群体作用于G的Lie代数G及其双重G*。我们表明，G的非平滑杀伤形式诱导G* G*的AD* - 等效异构形态，而G*又通过通道引起了g*的诱导，从而引起了G的伴侣和Goadjoint轨道空间之间的符号晶状体形态。
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.
