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- W4308161789 abstract "We equip the category of vector bundles over the vertices of a locally finite $tilde{A}_{n-1}$ building $Delta$ with the structure of a module category over a category of type $A_{n}$ webs in positive characteristic. This module category is a $q$-analogue of the $Rep(SL_{n})$ action on vector bundles over the $sl_n$ weight lattice. We show our module categories are equivariant with respect to symmetries of the building, and when a group $G$ acts simply transitively on the vertices of $Delta$ this recovers the fiber functors constructed by Jones." @default.
- W4308161789 created "2022-11-08" @default.
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- W4308161789 date "2022-11-02" @default.
- W4308161789 modified "2023-10-17" @default.
- W4308161789 title "Module categories for $A_n$ web categories from $tilde{A}_{n-1}$-buildings" @default.
- W4308161789 doi "https://doi.org/10.48550/arxiv.2211.01149" @default.
- W4308161789 hasPublicationYear "2022" @default.
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