错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Module Categories for \(A_n\) Web Categories from \(\tilde{A}_{n-1}\)-buildings

  • Emily McGovern

摘要

We equip the category of vector bundles over the vertices of a locally finite \(\tilde{A}_{n-1}\) A ~ n - 1 building \(\Delta \) Δ with the structure of a module category over a category of type \(A_{n}\) A n webs in positive characteristic. This module category is a q-analogue of the \(Rep(SL_{n})\) R e p ( S L n ) action on vector bundles over the \(sl_n\) s l 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 \(\Delta \) Δ this recovers the fiber functors constructed by C. Jones.