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math.RT2026
Twisted Gelfand-Ponomarev modules
Joseph Muller, Chia-Fu Yu
In this expository paper, given a field and two automorphisms , we give a self-contained proof of the classification of finite dimensional -vector s…
math.RT2024
Cohomology of the Bruhat-Tits strata in the supersingular locus of the Shimura variety at a ramified prime
Joseph Muller
The supersingular locus of the Shimura variety at a ramified prime is stratified by Coxeter varieties attached to finite symplectic groups. In this paper,…
math.RT2021
Cohomology of the Bruhat-Tits strata in the unramified unitary Rapoport-Zink space of signature
Joseph Muller
In [Inventiones mathematicae, 184 (2011)], Vollaard and Wedhorn defined a stratification on the special fiber of the unitary unramified PEL Rapoport-Zink space with signature $(1,n…