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Quantum Groups and Noncommutative Geometry

Quantum Groups and Noncommutative Geometry

Paperback

Series: Crm Short Courses

AlgebraGeneral Mathematics

ISBN10: 3030074323
ISBN13: 9783030074326
Publisher: Springer Nature
Published: Dec 20 2018
Pages: 125
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
1. The Quantum Group GL(2).- 2. Bialgebras and Hopf Algebras.- 3. Quadratic Algebras as Quantum Linear Spaces.- 4. Quantum Matrix Spaces. I. Categorical Viewpoint.- 5. Quantum Matrix Spaces. II. Coordinate Approach.- 6. Adding Missing Relations.- 7. From Semigroups to Groups.- 8. Frobenius Algebras and the Quantum Determinant.- 9. Koszul Complexes and the Growth Rate of Quadratic Algebras.- 10. Hopf *-Algebras and Compact Matrix Pseudogroups.- 11. Yang-Baxter Equations.- 12. Algebras in Tensor Categories and Yang-Baxter Functors.- 13. Some Open Problems.- 14. The Tannaka-Krein Formalism and (Re)Presentations of Universal Quantum Groups.- Bibliography.- Index.

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Algebra