Categorification of Spin Modules of Enveloping Algebra of Lie Algebra of Type D_4  

作　　者：Huabo XU Shilin YANG 

机构地区：[1]College of Applied Science, Beijing University of Technology

出　　处：《Journal of Mathematical Research with Applications》2014年第6期669-682,共14页数学研究及应用（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11271043);Natural Science Foundation of Beijing(Grant No.1122006);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.201111103110011)

摘　　要：In this paper we give a categorification of the n-th tensor products of the spin modules of enveloping algebra of lie algebra of type D4 via some subcategories and projective functors of the BGG category of the general linear Lie algebra gln over the complex field C.In this paper we give a categorification of the n-th tensor products of the spin modules of enveloping algebra of lie algebra of type D4 via some subcategories and projective functors of the BGG category of the general linear Lie algebra gln over the complex field C.

关 键 词：categorification spin modules BGG category projective functors 

分 类 号：O152.5[理学—数学] TP311.13[理学—基础数学]