Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology
Consider a compact group 𝐺 acting on a real or complex Banach Lie group 𝑈, by automorphisms in the relevant category, and leaving a central subgroup 𝛫 ≤ 𝑈 invariant. We define the spaces 𝛫𝑍ⁿ(𝐺, 𝑈) of 𝛫-relative continuous cocycles as those maps 𝐺ⁿ → 𝑈 whose coboundary is a 𝛫-valued (𝑛 + 1)-cocycle;...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212025 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology. Alexandru Chirvasitu and Jun Peng. SIGMA 19 (2023), 106, 28 pages |