Naive boundary strata and nilpotent orbits

Kerr, Matt; Pearlstein, Gregory

Naive boundary strata and nilpotent orbits
[Limites de strates naïves et orbites nilpotentes]

Annales de l'Institut Fourier, Tome 64 (2014), p. 2659-2714 / Harvested from Numdam

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Résumé
Abstract

Nous donnons une paramétrisation de certaines orbites de groupes de Lie réels dans le dual compact d’un domaine de Mumford-Tate et une caractérisation des orbites qui contiennent une filtration limite de Hodge naïve. Une série d’exemples est élaborée pour les groupes $S U (2, 1)$ , $S p_{4}$ , et $G_{2}$ .

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 $G_{2}$ .

Publié le : 2014-01-01

MR 3331177 | Zbl 06387350

DOI : https://doi.org/10.5802/aif.2923
Classification: 14D07, 14M17, 17B45, 20G99, 32M10, 32G20
Mots clés: groupes de Mumford-Tate, domaine de Mumford-Tate, orbites nilpotentes, variation de structure de Hodge, variétés de Shimura

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     author = {Kerr, Matt and Pearlstein, Gregory},
     title = {Naive boundary strata and nilpotent orbits},
     journal = {Annales de l'Institut Fourier},
     volume = {64},
     year = {2014},
     pages = {2659-2714},
     doi = {10.5802/aif.2923},
     zbl = {06387350},
     mrnumber = {3331177},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2014__64_6_2659_0}
}

Kerr, Matt; Pearlstein, Gregory. Naive boundary strata and nilpotent orbits. Annales de l'Institut Fourier, Tome 64 (2014) pp. 2659-2714. doi : 10.5802/aif.2923. http://gdmltest.u-ga.fr/item/AIF_2014__64_6_2659_0/

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