Simplicial Cohomology with Coefficients in Symmetric Categorical Groups

In this paper we introduce and study a cohomology theory {Hn(-, A)} for simplicial sets with coefficients in symmetric categorical groups A. We associate to a symmetric categorical group A a sequence of simplicial sets {K(A, n)}n0, which allows us to give a representation theorem for our cohomology. Moreover, we prove that for any n 3, the functor K(-, n) is right adjoint to the functor n, where n(X

• Type: Journal
• Year: 2004
• Where: ACS
• Authors: Pilar Carrasco, Juan Martínez-Moreno
• Keywords: ACS 2004, ACS 2007, Cohomology, Simplicial Set, Symmetric Categorical Groups