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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 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?