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Creators/Authors contains: "Garibaldi, Skip"

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  1. ; (, Michigan Mathematical Journal)
    Full Text Available 
  2. ; ; (, 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
  3. ; ; (, Journal of Algebra)
    Full Text Available