Graded Limits of Minimal Affinizations in Type D

Symmetry Integrability and Geometry-Methods and Applications

article

Katsuyuki Naoi¹ 

[1] Institute of Engineering, Tokyo University of Agriculture and Technology

关键词: minimal af finizations;    quantum af fine algebras;    current algebras;   

DOI  :  10.3842/SIGMA.2014.047

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown