93 citations · 159 across the 27 of their papers we have counts for
6 papers · 1 filter
Modulated categories and their representations via higher categories
Fei Xu, Maoyin Zhang
We consider the 3-category whose objects are 2-categories, 1-morphisms are lax functors, 2-morphisms are lax transformations and 3-morphisms are modifications. Th…
Skew category algebras and modules on ringed finite sites
Mawei Wu, Fei Xu
Let be a small category. We investigate ringed sites on and the resulting module categories $\mathfrak{M}{\rm od}\text{-}\ma…
On sheaves in finite group representations
Tengfei Xiong, Fei Xu
Given a general finite group , we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. For a certain class of transporter categ…
Local Representation Theory of Transporter Categories
Fei Xu
We attempt to generalize the -modular representation theory of finite groups to finite transporter categories, which are regarded as generalized groups. We shall carry on our ta…
On homology with coefficients and generalized inductions
Fei Xu
In group representations several inductions given by tensoring with appropriate bimodules may be reconstructed via homology of -posets with -equivariant coefficients. For thi…
Spectra of tensor triangulated categories over category algebras
Fei Xu
Let C be a finite EI category and k be a field. We consider the category algebra kC. Suppose K(C)=D^b(kC-mod) is the bounded derived category of finitely generated left modules. Th…