8 citations · 11 across the 3 of their papers we have counts for
3 papers
math.RT2009
An example of the derived geometrical Satake correspondence over integers
Xinwen Zhu
Let G^\vee be a complex simple algebraic group. We describe certain morphisms of G^\vee(\calO)-equivariant complexes of sheaves on the affine Grassmannian \Gr of G^\vee in terms of…
math.CT2009★ 8 cited
The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra
Xinwen Zhu
For any abelian category \calC satsifying (AB5) over a separated, quasi-compact scheme S, we construct a stack of 2-groups \GL(\calC) over the flat site of S. We will give a concre…
math.RT2009★ 3 cited
Integral homology of loop groups via Langlands dual groups
Zhiwei Yun, Xinwen Zhu
Let K be a connected compact Lie group, and G be its complexification. The homology of the based loop group ΩK with integer coefficients is naturally a \ZZ-Hopf algebra. After poss…