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$U({\mathfrak {so}}(7,{\mathbb C}))$的向量表示的范畴化
引用本文:许勇军,杨士林.$U({\mathfrak {so}}(7,{\mathbb C}))$的向量表示的范畴化[J].数学研究及应用,2013,33(1):79-89.
作者姓名:许勇军  杨士林
作者单位:北京工业大学应用数理学院, 北京 100124;北京工业大学应用数理学院, 北京 100124
基金项目:北京市自然科学基金(Grant No.1122006), 高等学校博士学科点专项科研基金(Grant No.201111103110011), 北京工业大学研究生科技基金重点项目(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 (so(7, C)). The main tools are certain singular blocks and projective functors of the BGG category of the complex Lie algebra gl n .

关 键 词:categorification  Lie  algebra  vector  representation  projective  functor  BGG  category.
收稿时间:2011/11/16 0:00:00
修稿时间:2012/10/18 0:00:00

A Categorification of the Vector Representation of $U({\mf{so}}(7,\C))$ via Projective Functors
Yongjun XU and Shilin YANG.A Categorification of the Vector Representation of $U({\mf{so}}(7,\C))$ via Projective Functors[J].Journal of Mathematical Research with Applications,2013,33(1):79-89.
Authors:Yongjun XU and Shilin YANG
Institution:College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China;College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China
Abstract:The aim of this paper is to categorify the $n$-th tensor power of the vector representation of $U({\mf{so}}(7,\C)).$ The main tools are certain singular blocks and projective functors of the BGG category of the complex Lie algebra ${\mf{gl}}_n$.
Keywords:categorification  Lie algebra  vector representation  projective functor  BGG category  
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