Quantum Groups

von Christian Kassel

552 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Content.- One Quantum SL(2).- I Preliminaries.- II Tensor Products.- III The Language of Hopf Algebras.- IV The Quantum Plane and Its Symmetries.- V The Lie Algebra of SL(2).- VI The Quantum Enveloping Algebra of sl(2).- VII A Hopf Algebra Structure on Uq(sl(2)).- Two Universal R-Matrices.- VIII The Yang-Baxter Equation and (Co)Braided Bialgebras.- IX Drinfeld's Quantum Double.- Three Low-Dimensional Topology and Tensor Categories.- X Knots, Links, Tangles, and Braids.- XI Tensor Categories.- XII The Tangle Category.- XIII Braidings.- XIV Duality in Tensor Categories.- XV Quasi-Bialgebras.- Four Quantum Groups and Monodromy.- XVI Generalities on Quantum Enveloping Algebras.- XVII Drinfeld and Jimbo's Quantum Enveloping Algebras.- XVIII Cohomology and Rigidity Theorems.- XIX Monodromy of the Knizhnik-Zamolodchikov Equations.- XX Postlude A Universal Knot Invariant.- References.

• Reihe: Graduate Texts in Mathematics
• Themen: Mathematik und Naturwissenschaften Physik Quantenphysik (Quantenmechanik und Quantenfeldtheorie)
• ISBN: 9781461269007
• Sprache: Englisch
• Erscheinungsdatum: 08.10.2012
• Größe: 235 x 155 mm
• Verlag: Humana