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On Graded Categorical Groups and Equivariant Group Extensions

  Published:2002-10-01
 Printed: Oct 2002
  • A. M. Cegarra
  • J. M. García-Calcines
  • J. A. Ortega
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Abstract

In this article we state and prove precise theorems on the homotopy classification of graded categorical groups and their homomorphisms. The results use equivariant group cohomology, and they are applied to show a treatment of the general equivariant group extension problem.
MSC Classifications: 18D10, 18D30, 20E22, 20F29 show english descriptions Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
Fibered categories
Extensions, wreath products, and other compositions [See also 20J05]
Representations of groups as automorphism groups of algebraic systems
18D10 - Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
18D30 - Fibered categories
20E22 - Extensions, wreath products, and other compositions [See also 20J05]
20F29 - Representations of groups as automorphism groups of algebraic systems
 

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