Homotopy classification of braided graded categorical groups |
| |
Authors: | AM Cegarra E Khmaladze |
| |
Institution: | a Departamento de Álgebra, Universidad de Granada, 18071 Granada, Spain b Georgian Acad Sci, A Razmadze Math Inst, Tbilisi, GE-0193, Georgia |
| |
Abstract: | For any group G, a certain cohomology theory of G-modules is developed. This cohomology arises from the homotopy theory of G-spaces and it is called the “abelian cohomology of G-modules”. Then, as the main results of this paper, natural one-to-one correspondences between elements of the 3rd cohomology groups of G-modules, G-equivariant pointed simply-connected homotopy 3-types and equivalence classes of braided G-graded categorical groups are established. The relationship among all these objects with equivariant quadratic functions between G-modules is also discussed. |
| |
Keywords: | 18D10 18D30 55N25 55P91 |
本文献已被 ScienceDirect 等数据库收录! |
|