Fabian Januszewski

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math.RT2025

Hausdorffness of certain nilpotent cohomology spaces

Fabian Januszewski, Binyong Sun, Hao Ying

Let $(I ¨ , V)$ be a smooth representation of a compact Lie group $G$ on a quasi-complete locally convex complex topological vector space. We show that the Lie algebra cohomology spac…

math.RT2024

Families of twisted $D$ -modules and arithmetic models of Harish-Chandra modules

Takuma Hayashi, Fabian Januszewski

We develop a theory of tdos and twisted $D$ -modules over general base schemes with a focus on functorial aspects. In particular, we introduce a flat base change functor an…

Hausdorffness of certain nilpotent cohomology spaces

Families of twisted D-modules and arithmetic models of Harish-Chandra modules

Families of twisted $D$ -modules and arithmetic models of Harish-Chandra modules