2019/10/22 by Yunxiang Ren, Ren, Yunxiang
Mathematics · #46L37 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:46L37
paper · pdf · doi:10.48550/arxiv.1910.09723
17 pages
openalex publication_date 2019/10/22 · arxiv created 2019/12/05 · arxiv updated 2019/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bisch and Jones proposed the classification of planar algebras by simple generators and relations. In this paper, we study the generating problem for a family of group-subgroup subfactors associated with the Kneser graphs, namely, to determine the generators with minimal size. In particular, we prove that this family of subfactors are generated by 2-boxes and this provides an affirmative answer to a question of Vaughan Jones. This generator problem is also related to the theory of quantum permutation groups, and the main theorem also provides an infinite family of strongly regular graphs with no quantum symmetry.