Graded Limits of Minimal Affinizations in Type D
Quantum Algebra
2014-04-22 v2 Representation Theory
Abstract
We study the graded limits of minimal affinizations over a quantum loop algebra of type D in the regular case. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and also give their defining relations. As a corollary we obtain a character formula for the minimal affinizations in terms of Demazure operators, and a multiplicity formula for a special class of the minimal affinizations.
Keywords
Cite
@article{arxiv.1310.5321,
title = {Graded Limits of Minimal Affinizations in Type D},
author = {Katsuyuki Naoi},
journal= {arXiv preprint arXiv:1310.5321},
year = {2014}
}