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Jan 26 at 11:08 history made wiki Post Made Community Wiki by Stefan Kohl
Dec 14, 2010 at 23:51 comment added David Roberts Examples of important and non-trivial $L_\infty$-algebras appear as the 'Lie algebras' of higher terms in the Whitehead tower for $O(n)$ (or more generally simple, finite-dimensional Lie groups) which are naturally smooth $k$-groupoids (various $k$), applicable in string theory.
Dec 14, 2010 at 21:57 comment added Ben Webster But of course, then you may as well ask "why are so many important $A_\infty$-algebras formal?"
Dec 14, 2010 at 21:50 history answered Alicia Garcia-Raboso CC BY-SA 2.5