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Cited by 1,940

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Foundations of Quantum Group Theory

Majid, Shahn·1995·Cambridge University Press eBooks
DOI 10.1017/cbo9780511613104
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Abstract

Now in paperback, this is a graduate level text for theoretical physicists and mathematicians which systematically lays out the foundations for the subject of Quantum Groups in a clear and accessible way. The topic is developed in a logical manner with quantum groups (Hopf Algebras) treated as mathematical objects in their own right. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. Explicit proofs and many examples will allow the reader quickly to pick up the techniques needed for working in this exciting new field.

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Metadata

Authors
Majid, S.
Venue
Cambridge University Press eBooks
Publisher
Cambridge University Press
Published
1995-12-14
DOI
10.1017/cbo9780511613104
OpenAlex
W1661352576
Cited by
1,940
References
0
FWCI
21.70
Type
book
Language
en
Open access
closed

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CoChat. (2026). Citation check: Foundations of Quantum Group Theory. https://app.cochat.ai/papers/10.1017/cbo9780511613104
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Majid, S. (1995). Foundations of Quantum Group Theory. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511613104

Data sources

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.