A Categorification of the Spin Representation of U(\mfso(7,\C)) via Projective Functors

2011/02/19 by Yongjun Xu, Xu, Yongjun, Shilin Yang +1
Mathematics · #17B10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1102.3952

openalex publication_date 2011/02/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

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

Citations

• 2-Kac-Moody algebras

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