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Apr 26, 2013 at 9:34 comment added Henry.L Update as an answer.
Apr 26, 2013 at 9:30 history edited Henry.L CC BY-SA 3.0
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Apr 26, 2013 at 9:24 history edited Henry.L CC BY-SA 3.0
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Apr 22, 2013 at 23:44 comment added wonderich Thank you. Let me please provide one more PHYSICS motivation for the problem, it concerns: Dijkgraaf-Witten theory: Robbert Dijkgraaf, Edward Witten, Topological Gauge Theories and Group Cohomology, Commun. Math. Phys. 129 (1990), 393 See also: ncatlab.org/nlab/show/Dijkgraaf-Witten+theory Hopefully it drives more attention to this seemly simple calculation. $ \begin{cases} H^3[U(1),U(1)]=Z,\newline H^3[U(1)\times U(1),U(1)]=?(\text{my guess}(Z)^3) \newline H^3[U(1)\times U(1)\times U(1),U(1)]=?(\text{my guess}(Z)^7) \end{cases} $ I like to compare it to Chern-Simons theory.
Apr 22, 2013 at 5:05 history answered Henry.L CC BY-SA 3.0