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Abstract
Let g be a simple Lie algebra. We consider the category Ohat of those modules over the affine quantum group Uq(ghat) 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 finitedimensional representations naturally extend to the category Ohat. In particular, we develop the theory of qcharacters 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 

Number of pages  32 
Publication status  Unpublished  12 Apr 2012 
Bibliographical note
32 pages, latexProjects
 1 Finished

Nonultralocality and new mathematical structures in quantum integrability
MacKay, N., Regelskis, V., Sklyanin, E., Torrielli, A., Vicedo, B. & Young, C.
1/10/09 → 31/03/13
Project: Research project (funded) › Research