Frobenius contraction, as Donkin puts it
Event details
| Date | 16.08.2016 |
| Hour | 15:15 › 16:15 |
| Speaker | Masaharu Kaneda (Osaka City University) |
| Location | |
| Category | Conferences - Seminars |
For a reductive group G over a field of positive characteristic p there is no splitting of the Frobenius morphism as algebraic groups. On its algebra of distributions, however, the Frobenius morphism splits, which can also be quantized.
Given any finite dimensional G-module M, using the splitting, one can define a structure of G-module on the sum of the weight spaces of M of weights divisible by p. We call so obtained G-module the Frobenius contraction of M, which is originally due to Peter Littelmann for standard modules. We will present a characterization of the contraction by Stephen Donkin and his proof of the preservation of a good filtration by the contraction.
Given any finite dimensional G-module M, using the splitting, one can define a structure of G-module on the sum of the weight spaces of M of weights divisible by p. We call so obtained G-module the Frobenius contraction of M, which is originally due to Peter Littelmann for standard modules. We will present a characterization of the contraction by Stephen Donkin and his proof of the preservation of a good filtration by the contraction.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii