Quantum Groups and Their Representations

von Konrad Schmüdgen, Anatoli Klimyk

576 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

I. An Introduction to Quantum Groups.- 1. Hopf Algebras.- 2. q-Calculus.- 3. The Quantum Algebra Uq(sl2) and Its Representations.- 4. The Quantum Group SLq(2) and Its Representations.- 5. The q-Oscillator Algebras and Their Representations.- II. Quantized Universal Enveloping Algebras.- 6. Drinfeld-Jimbo Algebras.- 7. Finite-Dimensional Representations of Drinfeld-Jimbo Algebras.- 8. Quasitriangularity and Universal R-Matrices.- III. Quantized Algebras of Functions.- 9. Coordinate Algebras of Quantum Groups and Quantum Vector Spaces.- 10. Coquasitriangularity and Crossed Product Constructions.- 11. Corepresentation Theory and Compact Quantum Groups.- IV. Noncommutative Differential Calculus.- 12. Covariant Differential Calculus on Quantum Spaces.- 13. Hopf Bimodules and Exterior Algebras.- 14. Covariant Differential Calculus on Quantum Groups.

• Reihe: Theoretical and Mathematical Physics
• Themen: Mathematik und Naturwissenschaften Physik Mathematische / Computergestützte / Theoretische Physik
• ISBN: 9783642646010
• Sprache: Englisch
• Erscheinungsdatum: 14.12.2011
• Größe: 235 x 155 mm
• Verlag: Springer Vieweg