Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. This book gives a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Researchers in mathematics and theoretical physics will enjoy this book.
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"An ideal guide for both experts and newcomers." American Mathematical Monthly
Book Description
Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. Progressing from basic principles to more advanced aspects, this self-contained text provides a comprehensive view.
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Inside This Book
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First Sentence:
As we mentioned in the Introduction, one reason for the terminology used to describe 'quantum groups' is that their relation to ordinary Lie groups is analogous to that between quantum mechanics and classical mechanics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quasitensor category, quasitensor categories, complex quantum groups, ribbon tangles, bialgebra structure, quantized algebra, braid group action, quantum affine algebras, quantum group structure, matrix quantum groups, primitive fth root, associativity maps, tangle invariants, tilting modules, compact quantum groups, quantized universal enveloping algebras, generating morphisms, quantum orthogonal, quantized enveloping algebras, braid group representations, quantum group symmetry, quantum trace, algebra deformation, quantum determinant, braided groups Key Phrases - Capitalized Phrases (CAPs): (learn more)
Harish Chandra, Remark One, Grothendieck's Esquisse, Remark Note, Heisenberg Lie, Note Unless, Wen Kexin New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
As we mentioned in the Introduction, one reason for the terminology used to describe 'quantum groups' is that their relation to ordinary Lie groups is analogous to that between quantum mechanics and classical mechanics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quasitensor category, quasitensor categories, complex quantum groups, ribbon tangles, bialgebra structure, quantized algebra, braid group action, quantum affine algebras, quantum group structure, matrix quantum groups, primitive fth root, associativity maps, tangle invariants, tilting modules, compact quantum groups, quantized universal enveloping algebras, generating morphisms, quantum orthogonal, quantized enveloping algebras, braid group representations, quantum group symmetry, quantum trace, algebra deformation, quantum determinant, braided groups Key Phrases - Capitalized Phrases (CAPs): (learn more)
Harish Chandra, Remark One, Grothendieck's Esquisse, Remark Note, Heisenberg Lie, Note Unless, Wen Kexin New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 50
books:
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35
books
cite this book:
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- Deformation Theory and Quantum Groups With Applications to Mathematical Physics (Contemporary Mathematics) by Murray Gerstenhaber on 10 pages
- Braid Group, Knot Theory and Statistical Mechanics (Advanced Series in Mathematical Physics) by C. N. Yang on 5 pages
- Symmetries in Science by Bruno Gruber in Back Matter (1), Back Matter (2), and Back Matter (3)
- Representation Theory and Dynamical Systems (Advances in Soviet Mathematics) by A. M. Vershik in Back Matter (1), Back Matter (2), and Back Matter (3)
- Quantum Probability and Related Topics by L. Accardi in Back Matter (1), and Back Matter (2)
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- Representations of Algebraic Groups, Quantum Groups, and Lie Algebras (Contemporary Mathematics) by Jens C. Jantzen on page 121, and page 228
- Proceedings of the Third International Algebra Conference: June 16-July 1, 2002, Chang Jung Christian University, Tainan, Taiwan by Yuen Fong on page 111
- Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics) by Terry Gannon in Back Matter
- Frontiers of Fundamental Physics 4 (No. 4) by B. G. Sidharth on page 221
- Geometric Analysis and Lie Theory in Mathematics and Physics (Australian Mathematical Society Lecture Series) by Alan L. Carey on page 26
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