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Browsing by Author "Young, C. A. S."
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Item Affinization of category 𝒪 for quantum groups(2014-05) Mukhin, Eugene; Young, C. A. S.; Department of Mathematical Sciences, School of ScienceLet be a simple Lie algebra. We consider the category of those modules over the affine quantum group whose -weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category . In particular, we define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters.