Local versus global subtleties of projective representations
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.07069
- arXiv:
- arXiv:2309.07069
- Bibcode:
- 2023arXiv230907069H
- Keywords:
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- Mathematical Physics
- E-Print:
- 14 pages, to appear as a chapter in "Tribute to Ruben Aldrovandi", ed. by F. Caruso, J. G. Pereira, A. Santoro (Editora Livraria da F\'isica, S\~ao Paulo, 2024)