English

A Categorification of the Spin Representation of $U(\mf{so}(7,\C))$ via Projective Functors

Representation Theory 2012-10-15 v2 Rings and Algebras

Abstract

The purpose of this paper is to study a categorification of the nn-th tensor power of the spin representation of U(\mfso(7,\C))U(\mf{so}(7,\C)) by using certain singular blocks and projective functors of the BGG category of the complex Lie algebra \mfgln\mf{gl}_n.

Keywords

Cite

@article{arxiv.1102.3952,
  title  = {A Categorification of the Spin Representation of $U(\mf{so}(7,\C))$ via Projective Functors},
  author = {Yongjun Xu and Shilin Yang},
  journal= {arXiv preprint arXiv:1102.3952},
  year   = {2012}
}

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17 pages