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Award ID contains: 1701768

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  1. ; ; (, American journal of mathematics)
    Accepted Manuscript Full Text Available
  2. ; ; ; (, Pacific journal of mathematics)
    Accepted Manuscript Full Text Available
  3. ; ; (, International mathematics research notices)
    Full Text Available 
  4. ; ; ; (, Advances in mathematics)
    null (Ed.)
    Accepted Manuscript Full Text Available
  5. ; (, Proceedings of the American Mathematical Society)
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  6. ; ; (, Transformation groups)
    null (Ed.)
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  7. ; ; ; (, Transformation groups)
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  8. ; ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract In 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. 
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  9. ; (, Homology homotopy and applications)
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  10. ; ; (, Springer Proceedings in Mathematics and Statistics (Geometric and Topological Aspects of the Representation Theory of Finite Groups), Springer-Verlag)
    The authors proved that a Weyl module for a simple algebraic group is irreducible over every field if and only if the module is isomorphic to the adjoint representation for $$E_{8}$$ or its highest weight is minuscule. In this paper, we prove an analogous criteria for irreducibility of Weyl modules over the quantum group $$U_{\zeta}({{\mathfrak g}})$$ where $${\mathfrak g}$$ is a complex simple Lie algebra and $$\zeta$$ ranges over roots of unity. 
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    Accepted Manuscript Full Text Available