Complex adjoint orbits in Lie theory and geometry
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DOI: 10.1016/j.exmath.2017.12.001
Abstract: This expository article is an introduction to the adjoint orbits of complex semisimple groups, primarily in the algebro-geometric and Lie-theoretic contexts, and with a pronounced emphasis on the properties of semisimple and nilpotent orbits. It… read more here.
Keywords: lie theory; orbits lie; complex adjoint; geometry ... See more keywords
Coadjoint orbits of Lie groupoids
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.03.011
Abstract: Abstract For a Lie groupoid G with Lie algebroid A , we realize the symplectic leaves of the Lie–Poisson structure on A ∗ as orbits of the affine coadjoint action of the Lie groupoid J… read more here.
Keywords: orbits lie; geometry; coadjoint orbits; lie groupoids ... See more keywords