Affine Slice for the Coadjoint Action of a Class of Biparabolic Subalgebras of a Semisimple Lie Algebra |
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| Authors: | Patrice Tauvel Rupert W T Yu |
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| Institution: | 1. UMR 6086 CNRS, Département de Mathématiques, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962, Futuroscope Chasseneuil cedex, France
2. Laboratoire de Mathématiques EA 4535, U.F.R. Sciences Exactes et Naturelles, Université de Reims, Moulin de la Housse - BP 1039, 51687, Reims cedex 2, France
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| Abstract: | 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. |
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