On the second cohomology categorical group and a Hochschild-Serre 2-exact sequence
(2015) Theory and Applications of Categories — Vol. 30, p. 933-984 (2015)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- We introduce the second cohomology categorical group of a categorical group G with coefficients in a symmetric G-categorical group and we show that it classifies extensions of G with symmetric kernel and a functorial section. Moreover, from an essentially surjective homomorphism of categorical groups we get 2-exact sequences à la Hochschild-Serre connecting the categorical groups of derivations and the first and the second cohomology categorical groups.
- Affiliations
Citations
Garzón, A. R., & Vitale, E. (2015). On the second cohomology categorical group and a Hochschild-Serre 2-exact sequence. Theory and Applications of Categories, 30, 933-984. https://hdl.handle.net/2078.5/185715 (Original work published 2015)