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An Introduction to Noncommutative Differential Geometry and its Physical Applications
Abstract
This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field.
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Citations
Cited by
Gauge theory on noncommutative spaces
Madore, J., Schraml, S., Schupp, P., & Wess, J. (2000) · The European Physical Journal C · doi:10.1007/s100520050012 · Cited by 565
Self-citationQuantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
Metadata
- Authors
- Madore, J.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1999-06-24
- OpenAlex
- W1547877468
- Cited by
- 590
- References
- 0
- FWCI
- 5.56
- Type
- book
- Language
- en
- Open access
- closed
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- Madore, J. (1999). An Introduction to Noncommutative Differential Geometry and its Physical Applications. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511569357
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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.
