| Categorification of Spin Modules of Enveloping Algebra of Lie Algebra of Type $D_{4}$ |
| Received:February 21, 2014 Revised:September 04, 2014 |
| Key Words:
categorification spin modules BGG category projective functors.
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| Fund Project:Supported by National Natural Science Foundation of China (Grant No.11271043), Natural Science Foundation of Beijing (Grant No.1122006) and Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.201111103110011). |
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| Abstract: |
| 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 $D_{4}$ via some subcategories and projective functors of the BGG category of the general linear Lie algebra gl$_{n}$ over the complex field $\mathbb{C}.$ |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.06.005 |
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