3 papers
math.NT2026
Single conjugacy classes of isometries in orthogonal groups over local fields
Fei Xu, Bo Zhang
All isometries in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry which is conjugate to in the general line…
math.RT2025
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…
math.NT2025
Integral embeddings of central simple algebras over number fields
Jiaqi Xie, Fei Xu
A criterion for determining exactly when an order of a maximal subfield of a central simple algebra over a number field can be embedded into an order of this algebra is given. Vari…