1.

Record Nr.

UNINA9910451113803321

Autore

Etingof P. I (Pavel I.), <1969->

Titolo

The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems [[electronic resource] /] / Pavel Etingof and Frédéric Latour

Pubbl/distr/stampa

Oxford ; ; New York, : Oxford University Press, 2005

ISBN

1-281-34641-1

9786611346416

0-19-152392-5

Descrizione fisica

1 online resource (151 p.)

Collana

Oxford lecture series in mathematics and its applications ; ; 29

Altri autori (Persone)

LatourFrédéric

Disciplina

512.482

Soggetti

Yang-Baxter equation

Representations of quantum groups

Quantum groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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. - ;The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equ