del Rio, A
Martinez-Moreno, J
Vitale, Enrico
[UCL]
We define the cohomology categorical groups of a complex of symmetric categorical groups, and we construct a long 2-exact sequence from an extension of complexes. As special cases, we obtain Ulbrich cohomology of Picard categories and the Hattori-Villamayor-Zelinsky sequences associated with a ring homomorphism. Applications to simplicial cohomology with coefficients in a symmetric categorical group, and to derivations of categorical groups are also discussed. (C) 2004 Elsevier B.V. All rights reserved.
Bibliographic reference |
del Rio, A ; Martinez-Moreno, J ; Vitale, Enrico. Chain complexes of symmetric categorical groups. In: Journal of Pure and Applied Algebra, Vol. 196, no. 2-3, p. 279-312 (2005) |
Permanent URL |
http://hdl.handle.net/2078.1/39542 |