In algebra, a simplicial Lie algebra is a simplicial object in the category of Lie algebras. In particular, it is a simplicial abelian group, and thus is subject to the Dold–Kan correspondence.
See also Differential graded Lie algebra
References Quillen, Daniel (September 1969). "Rational homotopy theory". Annals of Mathematics. 2. 90 (2): 205–295. doi:10.2307/1970725. JSTOR 1970725.
External links https://ncatlab.org/nlab/show/simplicial+Lie+algebra