2025/06/11 by Linliang Song, Song, Linliang, Wang, Xingyu
Mathematics · #17B10 #18D10 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2506.09729
openalex publication_date 2025/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new diagrammatic \Bbbk-linear monoidal supercategory QWeb^\bullet, the affine web supercategory of type Q, where \Bbbk is a commutative ring of characteristic not two. This category is the affinization of the web category of type Q, originally introduced by Brown and Kujawa. It serves as the type Q analog of the affine web category introduced by Davidson, Kujawa, Muth and Zhu, and independently by Wang and one of the authors. We obtain diagrammatic integral bases for the Hom-spaces of this category. We show that QWeb^\bullet provides a combinatorial model for a natural monoidal supercategory of endosuperfunctors for Lie superalgebras of type Q. .