Hausdorffness of certain nilpotent cohomology spaces
F. Januszewski, B. Sun, H. Ying, Accepted for Publication in the Journal of Functional Analysis (2025).
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Journal Article
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Author
Januszewski, Fabian;
Sun, Binyong;
Ying, Hao
Abstract
Let $(\pi,V)$ 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 space $\mathrm{H} ^\bullet(\mathfrak{u}, V)$ and the
Lie algebra homology space $\mathrm{H}_\bullet(\mathfrak{u}, V)$ are both
Hausdorff, where $\mathfrak{u}$ is the nilpotent radical of a parabolic
subalgebra of the complexified Lie algebra $\mathfrak{g}$ of $G$.
Publishing Year
Journal Title
accepted for publication in the Journal of Functional Analysis
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Cite this
Januszewski F, Sun B, Ying H. Hausdorffness of certain nilpotent cohomology spaces. accepted for publication in the Journal of Functional Analysis. Published online 2025.
Januszewski, F., Sun, B., & Ying, H. (2025). Hausdorffness of certain nilpotent cohomology spaces. Accepted for Publication in the Journal of Functional Analysis.
@article{Januszewski_Sun_Ying_2025, title={Hausdorffness of certain nilpotent cohomology spaces}, journal={accepted for publication in the Journal of Functional Analysis}, author={Januszewski, Fabian and Sun, Binyong and Ying, Hao}, year={2025} }
Januszewski, Fabian, Binyong Sun, and Hao Ying. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” Accepted for Publication in the Journal of Functional Analysis, 2025.
F. Januszewski, B. Sun, and H. Ying, “Hausdorffness of certain nilpotent cohomology spaces,” accepted for publication in the Journal of Functional Analysis, 2025.
Januszewski, Fabian, et al. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” Accepted for Publication in the Journal of Functional Analysis, 2025.
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