By the discussion there, dg-Lie algebras are strict L-∞ algebras

What is “there” ?

]]>I have received an email complaining that the $n$Lab just asserted but didn’t explain how a differential crossed module is equivalently a strict Lie 2-algebra.

So I did the following:

at Lie 2-algebra I spelled out the data of a 2-term L-infinity algebra;

at differential crossed module I pointed out how the crossed module data is equivalently that of a 2-term dg-Lie algebra.

created stub for strict Lie 2-algebra

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