Chain complexes of symmetric categorical groups

被引：10

作者：

del Río, A

Martínez-Moreno, J

Vitale, EM

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium

[2] Univ Granada, Fac Ciencias, Dept Algebra, E-18071 Granada, Spain

[3] Univ Jaen, Dept Matemat, Jaen 23071, Spain

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 196卷 / 2-3期

关键词：

D O I：

10.1016/j.jpaa.2004.08.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：279 / 312

页数：34

共 19 条

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