Preprints
On some non-principal locally analytic representations induced by cuspidal Lie algebra representations with an appendix by Andreas Bode preprint, May 2025.
Equivariant vector bundles on Drinfeld's halfspace over a finite field, preprint, November 2021.
Category O and locally analytic representations (with Matthias Strauch), Preprint, December 2014.
On some properties of the functors $\cF^G_P$ from Lie algebra to locally analytic representations, revised preprint, December 2020, to appear in the journal Representation Theory.
Book
Period domains over finite and p-adic fields (with Jean-Francois
Dat and Michael Rapoport), Cambridge Tracts in Mathematics (No. 183)
Publications
Bei den folgenden Dateien handelt es sich um Preprints. Die veröffentlichten und hier verlinkten Endversionen unterscheiden sich von diesen.
Kohomologie von Periodenbereichen über endlichen Körpern, J. Reine Angew. Math. 528 (2000), 201--233.
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The cohomology of period domains for reductive groups over finite fields, Ann. Sci. École Norm. Sup. 34 (2001), 63--77.
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On extensions of generalized Steinberg representations, Journal of Algebra 293 (2005), 611--630.
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The cohomology of period domains for reductive groups over local fields, Inventiones mathematicae 162 (2005), 523--549.
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On Harder-Narasimhan strata in flag manifolds, Mathematische Zeitschrift 252 (2006), 209--222.
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The continuous cohomology of period domains over local fields, Comment. Math. Helv. 82, Issue 3 (2007), 665-681.
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Equivariant vector bundles on Drinfeld's upper half space, Inventiones mathematicae 172 (2008), 585 - 656.
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Deligne-Lusztig varieties and period domains over finite fields (with Michael Rapoport), Journal of Algebra 320 (2008), 1220 - 1234 .
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The fundamental group of period domains over finite fields, Advances in Mathematics 219 (2008), 727-741.
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On the irreducibility of locally analytic principal series representations (with Matthias Strauch), Represent. Theory 14 (2010), 713-746 .
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The Jordan-Hölder series of the locally analytic Steinberg representation (with Benjamin Schraen), Documenta Math. 19 (2014), 647--671.
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On Jordan-Hölder series of some locally analytic representations (with Matthias Strauch), J. Amer. Math. Soc. 28 (2015), 99-157.
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The de Rham cohomology of Drinfeld's upper halfspace, Münster Journal of Mathematics 8 (2015), 169 -179
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The cohomology of Deligne-Lusztig varieties for the general linear group, Research in the Mathematical Sciences 5 (2018)
The pro-etale cohomology of Drinfeld's upper half space, Doc. Math. 26, 1395-1421 (2021).