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Creators/Authors contains: "Guralnick, Robert M"

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  1. ; ; (, Inventiones mathematicae)
    Abstract The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to$$|G|$$ | G | in a logarithmic sense. 
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  2. ; (, Advances in Mathematics)
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  3. ; (, Journal of Algebra)
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  4. ; (, Michigan Mathematical Journal)
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  5. (, Indagationes Mathematicae)
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  6. ; (, Linear Algebra and its Applications)
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  7. ; (, Journal of Algebra)
    null (Ed.)
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  8. ; ; (, Advances in Mathematics)
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  9. ; ; (, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES)
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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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