@article{CTGDC_2003__44_4_247_0, author = {Garz\'on, B. A. R. and del Rio, A.}, title = {Low-dimensional cohomology for categorical groups}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {247--280}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {44}, number = {4}, year = {2003}, mrnumber = {2030048}, zbl = {1042.18006}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_2003__44_4_247_0/} }
TY - JOUR AU - Garzón, B. A. R. AU - del Rio, A. TI - Low-dimensional cohomology for categorical groups JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2003 SP - 247 EP - 280 VL - 44 IS - 4 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_2003__44_4_247_0/ LA - en ID - CTGDC_2003__44_4_247_0 ER -
%0 Journal Article %A Garzón, B. A. R. %A del Rio, A. %T Low-dimensional cohomology for categorical groups %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2003 %P 247-280 %V 44 %N 4 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_2003__44_4_247_0/ %G en %F CTGDC_2003__44_4_247_0
Garzón, B. A. R.; del Rio, A. Low-dimensional cohomology for categorical groups. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) no. 4, pp. 247-280. http://archive.numdam.org/item/CTGDC_2003__44_4_247_0/
[1] Handbook of categorical algebra 1,2. Cambridge University Press, 1994. | MR
[2] Théorie de Schreier supérieure. Ann. Scient. Éc. Norm. Sup. 1992, ,4e série, 25, 465-514. | Numdam | MR | Zbl
[3] Algebraic models of 3-types and automorphisms structure for crossed modules. Proc. London Math. Soc. 1989, 59(3), 51-73. | MR | Zbl
;[4] A 3-dimensional non-abelian cohomology with applications to homotopy classification of continuous maps. Canadian Journal of Mathematics 1991, 43 (2), 265-296. | MR | Zbl
;[5] Schreier theory for central extensions of categorical groups. Communications in Algebra 1996, 24 (13), 4059-4112. | MR | Zbl
;[6] Schreier theory for singular extensions of categorical groups and homotopy classification. Communications in Algebra 2000, 28 (5), 2585-2613. | MR | Zbl
; ;[7] Obstruction theory for extensions of categorical groups. Applied Categoriques Structures (to appear). | MR | Zbl
;[8] Cohomology of cofibred categorical groups. J. Pure Appl. Algebra 1999, 143, 107-154. | MR | Zbl
;[9] Modules croisés generalisés de longeur 2. J. Pure Appl. Algebra 1984, 34, 155-178. | MR | Zbl
[10] Cohomologie non-abélienne. Séminaire de l'Institut Mathématique Lille, 1965. | Zbl
[11] Homotopy theory for (braided) cat-groups. Cahiers Top. et Geom. Diff. Cat. 1997, XXXVIII-2, 99-139. | EuDML | Numdam | MR | Zbl
;[12] Semidirect products of categorical groups. Obstruction theory. Homology, Homotopy and its applications 2001, 3 (6), 111-138. | EuDML | MR | Zbl
;[13] The Whitehead categorical group of derivations. Georgian Math. J. 2002, 9 (4), 709-721. | EuDML | MR | Zbl
;[14] Derivations of categorical groups. Preprint 2002. | MR | Zbl
; ;[15] Communications in Algebra 1990, 18 (8), 2703-2734. | MR | Zbl
, and[16] On the groups Hn(S, G) and the Brauer group of commutative rings. Sci. Papers College Gen. Ed. Univ. Tokyo 1978 28, 1-20. | MR | Zbl
[17] A course in Homological Algebra. Springer Verlag 1970. | MR | Zbl
;[18] Braided tensor categories. Advances in Math. 1991, 82(1), 20-78. | MR | Zbl
;[19] Factorization systems for symmetric cat-groups. Theory and Applications of Categories 2000, 7, (5), 47-70. | EuDML | Zbl
;[20] On Mac Lane's conditions for coherence of natural associativities, commutativities, etc. J. of Algebra 1964, 1, 397-402. | MR | Zbl
[21] Natural associativity and commutativity. Rice University Studies 1963, 49, 28-46. | MR | Zbl
[22] Homology. Springer, 1963. | Zbl
[23] Categories for the working mathematician, Second edition. Springer-Verlag, 1997. | MR | Zbl
[24] Actions and automorphisms of crossed modules. Bull. Soc. Math. France 1990, 118, 129-146. | EuDML | Numdam | MR | Zbl
[25] Extensions de Gr-catégories. Université Paris 13, Thése de doctorat, 2000.
[26] Catégories tannakiennes. Springer Lecture Notes in Math. 1972, 265. | MR | Zbl
[27] Gr-catégories. Université Paris VII, Thèse de doctorat, 1975.
[28] Cohomology for Picard Categories. J. of Algebra 1984, 91, 464-498. | MR | Zbl
[29] A Picard-Brauer exact sequence of categorical groups. J. Pure Appl. Algebra 2002, 175, 383-408. | MR | Zbl