We provide an alternative description of the restriction to spherical unipotent conjugacy classes, of Lusztig's map Ψ from the set of unipotent conjugacy classes in a connected reductive algebraic group to the set of conjugacy classes of its Weyl group. For irreducible root systems, we analyze the image of this restricted map and we prove that a conjugacy class in a finite Weyl group has a unique maximal length element if and only if it has a maximum.
On Lusztig's map for spherical unipotent conjugacy classes
CARNOVALE, GIOVANNA;COSTANTINI, MAURO
2013
Abstract
We provide an alternative description of the restriction to spherical unipotent conjugacy classes, of Lusztig's map Ψ from the set of unipotent conjugacy classes in a connected reductive algebraic group to the set of conjugacy classes of its Weyl group. For irreducible root systems, we analyze the image of this restricted map and we prove that a conjugacy class in a finite Weyl group has a unique maximal length element if and only if it has a maximum.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bull. London Math. Soc.-2013-Carnovale-blms_bdt048.pdf
accesso aperto
Tipologia:
Preprint (submitted version)
Licenza:
Accesso libero
Dimensione
160.45 kB
Formato
Adobe PDF
|
160.45 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
