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4 papers · 1 filter
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…
On quasi-reductive group schemes
Gopal Prasad, Jiu-Kang Yu
The paper was motivated by a question of Vilonen, and the main results have been used by Mirkovic and Vilonen to give a geometric interpretation of the dual group (as a Chevalley g…
A remark on cuspidal local systems
Victor Ostrik
In this note we show that all reductive groups are clean in odd characteristic. In characteristic 2 there are two cuspidal local systems (one for and one for ) which can…
Purity of equivalued affine Springer fibers
Mark Goresky, Robert Kottwitz, Robert MacPherson
The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its (Borel-Moore)…