DEMAZURE MODULES AND GRADED LIMITS OF MINIMAL AFFINIZATIONS

作者:Naoi Katsuyuki*
来源:Representation Theory - An Electronic Journal of the AMS, 2013, 17: 524-556.

摘要

For a minimal affinization over a quantum loop algebra of type BC, we provide a character formula in terms of Demazure operators and multiplicities in terms of crystal bases. We also prove the formula for the limit of characters conjectured by Mukhin and Young. These are achieved by verifying that its graded limit (a variant of a classical limit) is isomorphic to some multiple generalization of a Demazure module, and by determining the defining relations of the graded limit.

  • 出版日期2013-10-28