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SUMMARY:Frobenius contraction\, as Donkin puts it
DTSTART:20160816T151500
DTEND:20160816T161500
DTSTAMP:20260408T052641Z
UID:b0451dfedf632c18e15fcf24282eceabb4cabf0181a0f8f44153af19
CATEGORIES:Conferences - Seminars
DESCRIPTION:Masaharu Kaneda (Osaka City University)\nFor 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.\nGi
 ven any finite dimensional G-module M\, using the splitting\, one can defi
 ne 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 h
 is proof of the preservation of a good filtration by the contraction.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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