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

Format:

Book

Author/Creator:

Etingof, P. I. (Pavel I.), 1969- author.

Latour, Frédéric, author.

Series:

Oxford lecture series in mathematics and its applications ; 29.

Oxford scholarship online.

Oxford lecture series in mathematics and its applications ; 29

Oxford scholarship online

Language:

English

Subjects (All):

Yang-Baxter equation.

Representations of groups.

Quantum groups.

Physical Description:

1 online resource (151 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

This 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.

Contents:

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

Notes:

Formerly CIP.

Previously issued in print: 2005.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

ISBN:

1-383-02499-5

1-281-34641-1

9786611346416

0-19-152392-5

OCLC:

476257240