The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems

The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems / Pavel Etingof and Frédéric Latour.

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...

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Bibliographic Details
Main Authors: Etingof, P. I. (Pavel I.), 1969- (Author), Latour, Frédéric (Author)
Format: eBook
Language:English
Published: Oxford ; New York : Oxford University Press, ©2005.
Series:Oxford lecture series in mathematics and its applications ; 29.
Subjects:
Yang-Baxter equation.
Representations of groups.
Quantum groups.
Mathematical physics.
Quantum field theory.
MATHEMATICS > Algebra > Intermediate.
Quantum field theory
Mathematical physics
Quantum groups
Representations of groups
Yang-Baxter equation
Online Access:Click for online access
Table of Contents:
  • 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[sub(q)](g); 6 Dynamical R-matrices and integrable systems; 7 Traces of intertwiners for U[sub(q)](g); 8 Traces of intertwiners and Macdonald polynomials; 9 Dynamical Weyl group; References; Index.

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