The Calabi invariant and The Lyndon-Hochschild-Serre spectral sequence

2018/03/13 by T. Fujitani, Fujitani, T.
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1803.04645

Abstract

Let G be a group and N be a normal subgroup of G. There exists the group extension G of G/N by N. For a G-module A which N acts on trivially and a G-invariant homomorphism on N to A, we obtain a central extension of G/N by A. By using connection cochains, we exhibit the formula of its extension class such that clarify the relation among connection cochains, extension classes and the LHS spectral sequence.

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