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

Shilin Yang; Yongjun Xu

arxiv: 1102.3952 · v2 · pith:6XA6OVYQnew · submitted 2011-02-19 · 🧮 math.RT · math.RA

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

Yongjun Xu , Shilin Yang This is my paper

classification 🧮 math.RT math.RA

keywords categorificationfunctorsprojectiverepresentationspinalgebrablockscategory

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

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

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