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Fix a regular element $\lambda$ in $Lie(T)\subset Lie(T)$$Lie(T)\subset Lie(G)$, then the coadjoint orbit $Ad(G) \lambda$ is isomorphic to $G/T.$ Best,
Fix a regular element $\lambda$ in $Lie(T)\subset Lie(T)$, then the coadjoint orbit $Ad(G) \lambda$ is isomorphic to $G/T.$ Best,
Fix a regular element $\lambda$ in $Lie(T)\subset Lie(G)$, then the coadjoint orbit $Ad(G) \lambda$ is isomorphic to $G/T.$ Best,