Let G be a non-connected reductive algebraic group over an algebraically closed field K and let D be a connected component of G. We investigate the Jordan classes of D and we obtain a description of the regular part of the closure of a Jordan class in terms of induction of G∘-orbits. We use this result to show that Lusztig strata in a non-connected reductive algebraic group are locally closed.
Jordan classes and Lusztig strata in disconnected reductive groups
Martina Costa Cesari
2023
Abstract
Let G be a non-connected reductive algebraic group over an algebraically closed field K and let D be a connected component of G. We investigate the Jordan classes of D and we obtain a description of the regular part of the closure of a Jordan class in terms of induction of G∘-orbits. We use this result to show that Lusztig strata in a non-connected reductive algebraic group are locally closed.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
jordan classes and lusztig strata in disconnected algebraic groups.pdf
accesso aperto
Tipologia:
Preprint (AM - Author's Manuscript - submitted)
Licenza:
Creative commons
Dimensione
235.21 kB
Formato
Adobe PDF
|
235.21 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
