A Categorification of the Vector Representation of U(so(7,C)) via Projective Functors  

作　　者：Yongjun XU Shilin YANG 

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

出　　处：《Journal of Mathematical Research with Applications》2013年第1期79-89,共11页数学研究及应用（英文版）

基　　金：Supported by the Natural Science Foundation of Beijing(Grant No.1122006);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.201111103110011);Science and Technology Foundation of BJUT(Grant No.ykj-4787)

摘　　要：The aim of this paper is to categorify the n-th tensor power of the vector representation of U（ ο（7,C））. The main tools are certain singular blocks and projective functors of the BGG category of the complex Lie algebra gln.The aim of this paper is to categorify the n-th tensor power of the vector representation of U（ ο（7,C））. The main tools are certain singular blocks and projective functors of the BGG category of the complex Lie algebra gln.

关 键 词：CATEGORIFICATION Lie algebra vector representation projective functor BGG category. 

分 类 号：O183.1[理学—数学]