| A Categorification of the Vector Representation of $U({\mf{so}}(7,\C))$ via Projective Functors |
| Received:November 16, 2011 Revised:October 18, 2012 |
| Key Words:
categorification Lie algebra vector representation projective functor BGG category.
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| Fund Project: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). |
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| 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 ${\mf{gl}}_n$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.009 |
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