CATEGORIFICATION

作品数:12被引量:2H指数:1
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相关领域:理学更多>>
相关期刊:《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Communications in Theoretical Physics》更多>>
相关基金:国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>
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Categorification of Spin Modules of Enveloping Algebra of Lie Algebra of Type D_4
《Journal of Mathematical Research with Applications》2014年第6期669-682,共14页Huabo XU Shilin YANG 
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)
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 genera...
关键词:categorification spin modules BGG category projective functors 
A Categorification of the Vector Representation of U(so(7,C)) via Projective Functors被引量:1
《Journal of Mathematical Research with Applications》2013年第1期79-89,共11页Yongjun XU Shilin YANG 
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)
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 a...
关键词:CATEGORIFICATION Lie algebra vector representation projective functor BGG category. 
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