Timeline for Is Nijenhuis–Richardson bracket a BV bracket?
Current License: CC BY-SA 3.0
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| Oct 27, 2013 at 7:45 | comment | added | Mariano Suárez-Álvarez | One complex controls deformations of g as a Lie algebra, the other deformations of the enveloping algebra as an associative algebra: each deformation of the first class induces a deformation of the second class, but in general the second class is immensely larger. | |
| Sep 28, 2013 at 1:05 | comment | added | Sasha Pavlov | It looks like in such situation PBW isomorphism reduces question to the Hochshild cohomology of $U(g)$ that is CY if $g$ is unimodular, so it is really just an example of Ginzburg construction. But I don't understand deformation theoretic meaning of the Chevalley-Eilenberg complex for $S(g)$, is it some sort of "extended deformations"? | |
| Sep 27, 2013 at 6:27 | history | answered | Vladimir Dotsenko | CC BY-SA 3.0 |