Frobenius contraction, as Donkin puts it   16 August 2016

15:15 - 16:15
Room : BI A0 448
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.

Name University Dates of visit
Masaharu Kaneda Osaka City University 16/08/2016 - 16/08/2016
Total Guests : 1
Name University Dates of visit
Masaharu Kaneda Osaka City University 16/08/2016 - 16/08/2016
Total Guests : 1