Timeline for Cohomology of Infinite Dimensional Lie Algebra
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2020 at 9:46 | comment | added | user126256 | This is a bit late, but if anybody else comes across this, maybe it's good to address: The original paper "Hochschild, Serre - Cohomology of Lie Algebras" requires in the proof of Theorem 1 the existence of a projection from the Lie algebra $G$ to its subalgebra $K$ (basically, to extend cochains from $K$ to $G$). This may not exist e.g. in the setting of Banach spaces when your subspace is not complemented. Extensions of continuous cochains on a subspace to the whole space seem tricky in infinite dimensions, so there are legitimate concerns IMHO. | |
| Jan 15, 2018 at 7:07 | answer | added | Vladimir Dotsenko | timeline score: 4 | |
| Jan 14, 2018 at 19:36 | comment | added | abx | There is no assumption of finite dimensionality for the Hochschild-Serre spectral sequence. | |
| Jan 14, 2018 at 18:24 | history | edited | Hamidreza Safari | CC BY-SA 3.0 |
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| Jan 14, 2018 at 18:18 | history | undeleted | Hamidreza Safari | ||
| Jan 14, 2018 at 18:15 | history | deleted | Hamidreza Safari | via Vote | |
| Jan 11, 2018 at 10:39 | review | First posts | |||
| Jan 11, 2018 at 10:49 | |||||
| Jan 11, 2018 at 10:38 | history | asked | Hamidreza Safari | CC BY-SA 3.0 |