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Naive boundary strata and nilpotent orbits

Matt Kerr, Gregory Pearlstein (2014)

Annales de l’institut Fourier

We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups S U ( 2 , 1 ) , S p 4 , and G 2 .

Normalizers and self-normalizing subgroups II

Boris Širola (2011)

Open Mathematics

Let 𝕂 be a field, G a reductive algebraic 𝕂 -group, and G 1 ≤ G a reductive subgroup. For G 1 ≤ G, the corresponding groups of 𝕂 -points, we study the normalizer N = N G(G 1). In particular, for a standard embedding of the odd orthogonal group G 1 = SO(m, 𝕂 ) in G = SL(m, 𝕂 ) we have N ≅ G 1 ⋊ µm( 𝕂 ), the semidirect product of G 1 by the group of m-th roots of unity in 𝕂 . The normalizers of the even orthogonal and symplectic subgroup of SL(2n, 𝕂 ) were computed in [Širola B., Normalizers and self-normalizing...

Normes p -adiques et extensions quadratiques

Christophe Cornut (2009)

Annales de l’institut Fourier

On classifie les orbites de H sur l’immeuble de Bruhat-Tits de G pour trois paires sphériques ( G , H ) de groupes p -adiques classiques.

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