Counterexamples to the tilting and (p,r)-filtration conjectures
2020 ◽
Vol 2020
(767)
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pp. 193-202
Keyword(s):
AbstractIn this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic p that is not the restriction of an indecomposable tilting module. This yields a counterexample to Donkin’s longstanding Tilting Module Conjecture. The authors also produce a Weyl module that does not admit a p-Weyl filtration. This answers an old question of Jantzen, and also provides a counterexample to the {(p,r)}-Filtration Conjecture.
1971 ◽
Vol 12
(1)
◽
pp. 1-14
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1976 ◽
Vol 79
(2)
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pp. 136-151
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Keyword(s):
2018 ◽
Vol 19
(4)
◽
pp. 1031-1091
2005 ◽
Vol 92
(1)
◽
pp. 62-98
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2008 ◽
Vol 11
◽
pp. 280-297
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