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Unitary representations of the Lorentz group
Abstract
Certain quantities are introduced which are like tensors in space-time with an infinite enumerable number of components and with an invariant positive definite quadratic form for their squared length. Some of the main properties of these quantities are dealt with, and some applications to quantum mechanics are pointed out
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Citations
Cited by
Induced Representations of Locally Compact Groups I
Mackey, G. W. (1952) · The Annals of Mathematics · doi:10.2307/1969423 · Cited by 721
A Lorentzian signature model for quantum general relativity
Barrett, J. W., & Crane, L. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/16/302 · Cited by 275
Metadata
- Authors
- Dirac, P. A. M.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1945-02-22
- Volume
- 183
- Issue
- 994
- Pages
- 284-295
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1999500263
- Cited by
- 158
- References
- 0
- FWCI
- 2.27
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Unitary representations of the Lorentz group. https://app.cochat.ai/papers/10.1098/rspa.1945.0003
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- Dirac, P. A. M. (1945). Unitary representations of the Lorentz group. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1945.0003
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
