free graded co-commutative coalgebra


For V V^\bullet a complex of modules over a commutative algebra AA, the free graded co-commutative coalgebra A V\vee^\bullet_A V over VV, is the coalgebra (in the sense of co-monoids in complexes of modules) whose underlying complex is the graded-symmetric tensor algebra S A VS^\bullet_A V over AA, and who co-product is the co-concatenation product.

Last revised on July 4, 2009 at 06:16:20. See the history of this page for a list of all contributions to it.