Quantum groups and noncommutative geometry. (2018)

• Record Type: Book
• Further Information: Note: Yuri I. Manin ; with a contribution by Theo Raedschelders and Michel Van den Bergh.
• Authors: Manin, I︠U︡. I
• Contents: 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.
• Edition: Second edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (vii, 125 pages), illustrations
• Subjects: 512/.2; Mathematics; Quantum groups; Geometry, Algebraic; Noncommutative differential geometry; Geometry, Algebraic; Noncommutative differential geometry; Quantum groups; Mathematics -- Algebra -- Abstract; Groups & group theory; Mathematical foundations; Algebra; Group theory; Algebra; Electronic books
• Languages: English
• ISBNs: 9783319979878; 3319979876
• Related ISBNs: 9783319979861; 3319979868
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed October 22, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.