{"external_id":{"arxiv":["2501.02799"]},"date_created":"2025-01-07T19:31:01Z","status":"public","abstract":[{"text":"Let $(\\pi,V)$ be a smooth representation of a compact Lie group $G$ on a\r\nquasi-complete locally convex complex topological vector space. We show that\r\nthe Lie algebra cohomology space $\\mathrm{H} ^\\bullet(\\mathfrak{u}, V)$ and the\r\nLie algebra homology space $\\mathrm{H}_\\bullet(\\mathfrak{u}, V)$ are both\r\nHausdorff, where $\\mathfrak{u}$ is the nilpotent radical of a parabolic\r\nsubalgebra of the complexified Lie algebra $\\mathfrak{g}$ of $G$.","lang":"eng"}],"language":[{"iso":"eng"}],"_id":"58096","title":"Hausdorffness of certain nilpotent cohomology spaces","type":"journal_article","citation":{"ama":"Januszewski F, Sun B, Ying H. Hausdorffness of certain nilpotent cohomology spaces. <i>accepted for publication in the Journal of Functional Analysis</i>. Published online 2025.","mla":"Januszewski, Fabian, et al. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” <i>Accepted for Publication in the Journal of Functional Analysis</i>, 2025.","bibtex":"@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} }","chicago":"Januszewski, Fabian, Binyong Sun, and Hao Ying. “Hausdorffness of Certain Nilpotent Cohomology Spaces.” <i>Accepted for Publication in the Journal of Functional Analysis</i>, 2025.","apa":"Januszewski, F., Sun, B., &#38; Ying, H. (2025). Hausdorffness of certain nilpotent cohomology spaces. <i>Accepted for Publication in the Journal of Functional Analysis</i>.","short":"F. Januszewski, B. Sun, H. Ying, Accepted for Publication in the Journal of Functional Analysis (2025).","ieee":"F. Januszewski, B. Sun, and H. Ying, “Hausdorffness of certain nilpotent cohomology spaces,” <i>accepted for publication in the Journal of Functional Analysis</i>, 2025."},"publication":"accepted for publication in the Journal of Functional Analysis","date_updated":"2025-06-27T11:47:15Z","author":[{"last_name":"Januszewski","full_name":"Januszewski, Fabian","first_name":"Fabian"},{"first_name":"Binyong","full_name":"Sun, Binyong","last_name":"Sun"},{"full_name":"Ying, Hao","last_name":"Ying","first_name":"Hao"}],"user_id":"81636","year":"2025"}