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• CommentRowNumber1.
• CommentAuthorjim_stasheff
• CommentTimeJun 16th 2013
Where is there written a Lie algebra analog of e.g. Koszul-Tate resolution?
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJun 17th 2013

Hi Jim,

since a Koszul-Tate resolution is a homotopy (co-)fiber (of an ideal inclusion), you are maybe looking for models for homotopy fibers of maps of Lie algebras / $L_\infty$-algebras?

Just recently we described an explicit such model here, see theorem 3.1.13.

• CommentRowNumber3.
• CommentAuthorjim_stasheff
• CommentTimeJun 17th 2013
Thanks. That's just for the case of the range being abelian if I understand. Now haow about the general case. I'd also like to see it
in concrete terms. Suppose L is a Lie or L_oo algebra and an A-module
but not an A-Lie algebra (cf. structure functions). Let A<x,y,z,..> \to L
be onto. Now repeat with A<a,b,c,...> onto the kernel of that....

anyone seen anything like that?