Equivariance, extendibility and inductive McKay conjecture in type A
Event details
| Date | 29.04.2013 |
| Hour | 09:00 › 10:15 |
| Speaker | Marc Cabanes [Paris 7] |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
John McKay's conjecture (1970) is an elementary global/local statement relating characters of a group and of its Sylow normalizer. The inductive McKay condition, due to Isaacs-Malle-Navarro, is a condition on finite quasi-simple groups, which implies the McKay conjecture for all finite groups (Isaacs-Malle-Navarro, 2007). The first half of this condition is the usual conjecture in an O-equivariant for O the group of outer automorphisms. The second half is a condition in terms of cocycles on O. We show how to check the condition in the case of simple groups of type PSL and PSU. This uses generalized Gelfand Graev representations (Kawanaka 1985) and d-Harish Chandra theory (Fong-Srinivasan 1986). Joint work with B. Späth.
Practical information
- Expert
- Free
Organizer
- Jacques Thévenaz
Contact
- Jacques Thévenaz