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Infinite-Dimensional Lie Algebras
Abstract
This is the third, substantially revised edition of this important monograph. The book is concerned with Kac–Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems.
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Citations
Cited by
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Reshetikhin, N., & Turaev, V. G. (1991) · Inventiones Mathematicae · doi:10.1007/bf01239527 · Cited by 1,492
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Lerche, W., Vafa, C., & Warner, N. P. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90474-4 · Cited by 894
E10and a Small Tension Expansion of M Theory
Damour, T., Henneaux, M., & Nicolai, H. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.221601 · Cited by 342
Metadata
- Authors
- Kac, V. G.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1990-09-20
- OpenAlex
- W1642629289
- Cited by
- 5,244
- References
- 0
- FWCI
- 65.79
- Type
- book
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Infinite-Dimensional Lie Algebras. https://app.cochat.ai/papers/10.1017/cbo9780511626234
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- Kac, V. G. (1990). Infinite-Dimensional Lie Algebras. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511626234
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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.
