Quantum Groups and Noncommutative Geometry

By Yuri I. Manin

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3030074323
• ISBN13: 9783030074326
• Release Date: December 2018
• Publisher: Springer
• Length: 125 Pages
• Weight: 0.44 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"