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

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

2011-02-19

arxiv.org/abs/1102.3952v1

Mathematics

Representation Theory

21 pages

Scientific paper

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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