Timeline for Hochschild cohomology of certain local algebras
Current License: CC BY-SA 3.0
13 events
when toggle format | what | by | license | comment | |
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Aug 22, 2017 at 3:12 | answer | added | Vladimir Dotsenko | timeline score: 4 | |
Jul 7, 2017 at 18:05 | history | edited | Mare | CC BY-SA 3.0 |
edited title
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Jul 7, 2017 at 17:59 | comment | added | darij grinberg | Actually, maybe this helps: Guillermo Ames, Leandro Cagliero, Paulo Tirao, The GL-module structure of the Hochschild homology of truncated tensor algebras. The algebra they study is the same; but they study the homology, not the cohomology. But the projective resolution can't hurt... | |
Jul 7, 2017 at 17:57 | comment | added | darij grinberg | @Mare: Oops, I got the module wrong. Sorry, but can you please change the title to something more concrete than just "Hochschild cohomology" (this is a tag on 61 questions)? | |
Jul 7, 2017 at 17:43 | history | edited | Mare | CC BY-SA 3.0 |
added 2 characters in body
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Jul 7, 2017 at 16:36 | comment | added | Victor Protsak | You probably mean that $J$ is the ideal generated by $x_1,\dots,x_n$ (the span of these elemens is not an ideal). | |
Jul 7, 2017 at 15:13 | comment | added | Mare | I think the new title does not fit to the problem. | |
Jul 7, 2017 at 10:10 | comment | added | darij grinberg | Possibly related: Claude Cibils, Tensor Hochschild homology and cohomology. | |
Jul 7, 2017 at 10:09 | history | edited | darij grinberg | CC BY-SA 3.0 |
edited title
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Jul 7, 2017 at 8:34 | comment | added | Julian Kuelshammer | For the commutative case, the Hochschild cohomology ring should be the polynomial ring in $n$ variables over $A$ for $m=2$ and for $m>2$ it should be the tenor product over $A$ of an exterior algebra in $n$ variables over $A$ and a polynomial ring in $n$ variables over $A$. For $n=\operatorname{char} K$ this is stated in "Hopf algebra structures and tensor products of group algebras" by Carlson and Iyengar. | |
S Jul 7, 2017 at 0:50 | history | suggested | LSpice | CC BY-SA 3.0 |
Brackets <> -> \langle\rangle, and light copy-editing
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Jul 7, 2017 at 0:27 | review | Suggested edits | |||
S Jul 7, 2017 at 0:50 | |||||
Jul 6, 2017 at 23:44 | history | asked | Mare | CC BY-SA 3.0 |