Quantum Groups and related topics
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Books & reviews on Noncommutative Geometry Quantum Groups and related topics |
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| Elements of Noncommutative Geometry,
Jose M. Gracia-Bondia, Joseph C. Varilly and Hector Figueroa
Birkhauser Boston 2000 |
This text is an introduction to the language and techniques of noncommutative geometry at a level suitable for graduate students, and also provides sufficient detail to be useful to physicists and mathematicians wishing to enter this rapidly growing field. It may also serve as a reference text on several topics that are relevant to noncommutative geometry (from Amazon.com description) |
| Noncommutative Geometry, Alain Connes, Academic Press (1994), | The basic book in noncommutative geometry, written by its creator. What else could be added? |
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| An Introduction to Noncommutative Differential Geometry & Its Applications, John Madore, Cambridge University Press (1995, 1998, 2000), | Introduction to many examples in noncommutative geometry: from matrices to q-deformations. |
| Introduction to Noncommutative Spaces & Their Geometries, Giovanni Landi, Springer-Verlag New York (1997), | An introduction to several ideas & applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some virtual noncommutative space. |
| Foundations of Quantum Group Theory, Shahn Majid, Cambridge University Press (1993,1998) | See the Introduction by the author! |
| Guide to Quantum Groups, Vyjayanthi Chari, Andrew N. Pressley, Cambridge University Press, 1995 | |
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| Quantum Groups:From Coalgebras to Drinfeld Algebras Steven Shnider, Schlomo Sternberg, International Press of Boston (1994) | |
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| Quantum Groups, Christian Kassel, Springer-Verlag (1995), | Graduate Texts in Mathematics, Vol 155 |
| Introduction To Quantum Groups, M.Chaichian, A. P. Demichev, World Scientific (1996), | |
| Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach Larry A. Lambe, David E. Radford, Kluwer Academic Publish. 1997, | |
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| Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups, Ludwig Pittner, Springer Verlag, 1995 | Lecture Notes in Physics. New Series M, Monographs, M3 |
| Fundamentals of the Theory of Operator Algebras: Advanced Theory,Vol 1, Richard V. Kadison, John R. Ringrose, American Mathematical Society 1997, | (Graduate Studies in Mathematics, V. 15) |
| Fundamentals of the Theory of Operator Algebras: Advanced Theory,Vol 2, Richard V. Kadison, John R. Ringrose, American Mathematical Society 1997, | (Graduate Studies in Mathematics, V. 15) |