Timeline for Is there a link between $H_2(G,\mathbb{Z})$, the Schur Multiplier of a group, and the "other" Schur multipliers of a group?
Current License: CC BY-SA 3.0
9 events
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| S Jan 9, 2016 at 5:17 | history | suggested | gaoxinge | CC BY-SA 3.0 |
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| Jan 9, 2016 at 5:01 | review | Suggested edits | |||
| S Jan 9, 2016 at 5:17 | |||||
| Jan 8, 2016 at 23:22 | history | edited | Alin Galatan | CC BY-SA 3.0 |
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| Jan 8, 2016 at 22:38 | comment | added | Alin Galatan | @QiaochuYuan Edited the typo, thank you. | |
| Jan 8, 2016 at 22:38 | history | edited | Alin Galatan | CC BY-SA 3.0 |
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| Jan 8, 2016 at 22:30 | comment | added | Yemon Choi | @QiaochuYuan the second thing is the space of multipliers for the operation of Schur product (aka entrywise product if you inreoduce co-ordinates and view operators as infinite matruces). So "Schur multiplier" really doesn't seem that bad a name to me. Cf. "Fourier multiplier", etc. Also I am not sure that Herz is responsible for the terminology Schur multiplier, see my answer | |
| Jan 8, 2016 at 22:28 | answer | added | Yemon Choi | timeline score: 6 | |
| Jan 8, 2016 at 22:26 | comment | added | Qiaochu Yuan | I have no idea why this second thing also deserves the name "Schur multiplier": there doesn't seem to be a cocycle condition on $K$, nor a quotienting by coboundaries. If $G$ is finite the condition is vacuous, right? So it definitely doesn't agree with the Schur multiplier in that case. Doesn't seem like a good name to me. (Also, you've mixed up indices: you mean $H_2(G, \mathbb{Z})$ and $H^2(G, \mathbb{C}^{\times})$.) | |
| Jan 8, 2016 at 21:41 | history | asked | Alin Galatan | CC BY-SA 3.0 |