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· 제목 : Quantum Groups and Noncommutative Geometry (Paperback) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 추상대수학
· ISBN : 9783030074326
· 쪽수 : 125쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 추상대수학
· ISBN : 9783030074326
· 쪽수 : 125쪽
목차
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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