Hausdorffness of certain nilpotent cohomology spaces
F. Januszewski, B. Sun, H. Ying, ArXiv:2501.02799 (2025).
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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 $G$.
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arXiv:2501.02799
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Januszewski F, Sun B, Ying H. Hausdorffness of certain nilpotent cohomology spaces. arXiv:250102799. Published online 2025.
Januszewski, F., Sun, B., & Ying, H. (2025). Hausdorffness of certain nilpotent cohomology spaces. In arXiv:2501.02799.
@article{Januszewski_Sun_Ying_2025, title={Hausdorffness of certain nilpotent cohomology spaces}, journal={arXiv:2501.02799}, author={Januszewski, Fabian and Sun, Binyong and Ying, Hao}, year={2025} }
Januszewski, Fabian, Binyong Sun, and Hao Ying. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” ArXiv:2501.02799, 2025.
F. Januszewski, B. Sun, and H. Ying, “Hausdorffness of certain nilpotent cohomology spaces,” arXiv:2501.02799. 2025.
Januszewski, Fabian, et al. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” ArXiv:2501.02799, 2025.
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