Timeline for Are there Steenrod operations on Hochschild cohomology of the group algebra of a finite group?
Current License: CC BY-SA 2.5
9 events
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| Apr 6, 2011 at 13:03 | comment | added | Fernando Muro | MR1687539 (2000b:16016) Siegel, Stephen F.(1-MA-C); Witherspoon, Sarah J.(1-WI) The Hochschild cohomology ring of a group algebra. Proc. London Math. Soc. (3) 79 (1999), no. 1, 131–157. 16E40 (18G60) | |
| Apr 6, 2011 at 13:02 | comment | added | Fernando Muro | MR1421841 (97k:13018) Cibils, Claude(F-MONT2); Solotar, Andrea(RA-UBAS) Hochschild cohomology algebra of abelian groups. (English summary) Arch. Math. (Basel) 68 (1997), no. 1, 17–21. 13D03 (16E40 20C05) | |
| Apr 6, 2011 at 13:01 | comment | added | Fernando Muro | @Tom: the isomorphism is not multiplicative if the group is non-abelian. | |
| Apr 6, 2011 at 12:50 | history | edited | Fernando Muro | CC BY-SA 2.5 |
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| Apr 6, 2011 at 12:46 | comment | added | Tom Goodwillie | I believe that Hochschild cohomology of the group algebra of $G$ can be described as the cartesian product, over conjugacy classes of $G$, of cohomology of the centralizer of a representative. This gives it Steenrod operations. There is some better way to say this, but I think the answer is yes. | |
| Apr 6, 2011 at 12:44 | comment | added | Fernando Muro | MR2240919 (2007d:55020) Tourtchine, Victor Dyer-Lashof-Cohen operations in Hochschild cohomology. Algebr. Geom. Topol. 6 (2006), 875–894 (electronic). (Reviewer: Vigleik Angeltveit), 55S12 (16E40 18D50 55P48) | |
| Apr 6, 2011 at 12:39 | comment | added | Fernando Muro | MR0436146 (55 #9096) Cohen, Frederick R.; Lada, Thomas J.; May, J. Peter The homology of iterated loop spaces. Lecture Notes in Mathematics, Vol. 533. Springer-Verlag, Berlin-New York, 1976. vii+490 pp. (Reviewer: Peter J. Eccles), 55G25 (55D35) | |
| Apr 6, 2011 at 11:21 | comment | added | zhou guodong | Can you give some references of your statements above? Thanks a lot. | |
| Apr 6, 2011 at 11:18 | history | answered | Fernando Muro | CC BY-SA 2.5 |