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math.SG2003
Poisson structures on complex flag manifolds associated with real forms
Philip Foth, Jiang-Hua Lu
For a complex semi-simple group G and its real form G0 we define a Poisson structure on the flag variety of G such that all the Bruhat cells (for a suitable choice of a Borel subgr…
math.SG2003★ 1 cited
A note on Lagrangian loci of quotients
Philip Foth
We study hamiltonian actions of compact groups in the presence of compatible involutions. We show that the lagrangian fixed point set on the symplectically reduced space is isomorp…