The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems

Pavel Etingof, Frederic Latour (Autoren)

Buch | Hardcover

152 Seiten

2005
Oxford University Press (Verlag)
978-0-19-853068-8 (ISBN)

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Based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. This book contains proofs and explicit calculations, and is useful for graduate students of mathematics.

The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.

0. Preface ; 1. Introduction ; 2. Background material ; 3. Intertwiners, fusion and exchange operators for Lie algebras ; 4. Quantum groups ; 5. Intertwiners, fusion and exchange operators for U_q (g) ; 6. Dynamical R-matrices and integrable systems ; 7. Traces of intertwiners for U_q (g) ; 8. Traces of intertwiners and Macdonald polynomials ; 9. Dynamical Weyl group

Erscheint lt. Verlag	24.3.2005
Reihe/Serie	Oxford Lecture Series in Mathematics and Its Applications ; 29
Verlagsort	Oxford
Sprache	englisch
Maße	161 x 241 mm
Gewicht	365 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-19-853068-4 / 0198530684
ISBN-13	978-0-19-853068-8 / 9780198530688
Zustand	Neuware