Strongly Continuous Representations in the Hilbert Space: A Far-Reaching Concept

@article{HoffdaSilva2021StronglyCR,
  title={Strongly Continuous Representations in the Hilbert Space: A Far-Reaching Concept},
  author={J. M. Hoff da Silva and Gabriel Marcondes Caires da Rocha},
  journal={Universe},
  year={2021}
}
We revisit the fundamental notion of continuity in representation theory, with special attention to the study of quantum physics. After studying the main theorem in the context of representation theory, we draw attention to the significant aspect of continuity in the analytic foundations of Wigner’s work. We conclude the paper by reviewing the connection between continuity, the possibility of defining certain local groups, and their relation to projective representations. 
1 Citations
Editorial to the Special Issue “80 Years of Professor Wigner’s Seminal Work: On Unitary Representations of the Inhomogeneous Lorentz Group”
The present Special Issue is dedicated to celebrate 80 years of the Professor Eugene Paul Wigner paper “On Unitary Representations of the Inhomogeneous Lorentz Group”, published in 1939 [...]

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