Abstract
Let g be a simple Lie algebra. We consider the category ˆO of those modules over
the affine quantum group Uq(bg) whose Uq(g)-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 ˆO . In particular, we develop the theory of q-characters and 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.
the affine quantum group Uq(bg) whose Uq(g)-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 ˆO . In particular, we develop the theory of q-characters and 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.
Original language | English |
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Pages (from-to) | 4815-4847 |
Journal | Transactions of the American Mathematical Society |
Volume | 366 |
Early online date | 5 May 2014 |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Quantum Affine Algebras
- Representation Theory
- Quantum Groups