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Local versus global subtleties of projective representations

2023/09/13 by J. M. Hoff da Silva, da Silva, J. M. Hoff, José Edílson Cardoso Rodrigues +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2309.07069

Abstract

In this short review, we pay attention to some subtleties in the study of projective representations, contrasting local to global properties and their interplay. The analysis is exposed rigorously, showing and demonstrating the main necessary theorems. We discuss the implementation of useful algebraic topology tools to characterize representations.

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