1. CJM 2009 (vol 62 pp. 94)
|The Langlands Correspondence on the Generic Irreducible Constituents of Principal Series |
Let $G$ be a connected semisimple split group over a $p$-adic field. We establish the explicit link between principal nilpotent orbits and the irreducible constituents of principal series in terms of $L$-group objects.
Keywords:Langlands correspondence, nilpotent orbits, principal series
2. CJM 2005 (vol 57 pp. 750)
|Sur la structure transverse Ã une orbite nilpotente adjointe |
We are interested in Poisson structures to transverse nilpotent adjoint orbits in a complex semi-simple Lie algebra, and we study their polynomial nature. Furthermore, in the case of $sl_n$, we construct some families of nilpotent orbits with quadratic transverse structures.
Keywords:nilpotent adjoint orbits, conormal orbits, Poisson transverse structure