We define and study spherical subgroups of finite type of a Kac-Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove that it satisfies the same axioms as in the finite-dimensional case. Our main tool is a study of varieties that are spherical under the action of a connected reductive group L, and come equipped with a transitive action of a group containing L as a Levi subgroup.
Spherical subgroups of Kac-Moody groups and transitive actions on spherical varieties / Pezzini, Guido. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 312:(2017), pp. 680-736.
Spherical subgroups of Kac-Moody groups and transitive actions on spherical varieties
PEZZINI, Guido
2017
Abstract
We define and study spherical subgroups of finite type of a Kac-Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove that it satisfies the same axioms as in the finite-dimensional case. Our main tool is a study of varieties that are spherical under the action of a connected reductive group L, and come equipped with a transitive action of a group containing L as a Levi subgroup.File | Dimensione | Formato | |
---|---|---|---|
Pezzini_Spherical-subgroups_2017.pdf
Open Access dal 23/10/2022
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
608.2 kB
Formato
Adobe PDF
|
608.2 kB | Adobe PDF | |
Pezzini_preprint_Spherical-subgroups_2017.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
575.7 kB
Formato
Unknown
|
575.7 kB | Unknown |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.