Affine slice for the coadjoint action of a class of biparabolic   subalgebras of a semisimple Lie algebra
  In this article, we give a simple explicit construction of an affine slice for the coadjoint action of a certain class of biparabolic (also called seaweed) subalgebras of a semisimple Lie algebra over an algebraically closed field of characteristic zero. In particular, this class includes all Borel subalgebras. 
Patrice Tauvel and Rupert W.T. Yu
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