Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology
Consider a compact group acting on a real or complex Banach Lie group , by automorphisms in the relevant category, and leaving a central subgroup ≤ invariant. We define the spaces ⁿ(, ) of -relative continuous cocycles as those maps ⁿ → whose coboundary is a -valued ( + 1)-cocycle; this applies...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212025 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology. Alexandru Chirvasitu and Jun Peng. SIGMA 19 (2023), 106, 28 pages |