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

By: Etingof, P. I. (Pavel I.), 1969-
Contributor(s): Latour, Frédéric
Material type: TextTextSeries: Oxford lecture series in mathematics and its applications: 29.Publisher: Oxford ; New York : Oxford University Press, ©2005Description: 1 online resource (xi, 137 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 0191523925; 9780191523922; 9786611346416; 6611346414; 0198530684; 9780198530688Subject(s): Yang-Baxter equation | Representations of groups | Quantum groups | Yang-Baxter, Équation de | Physique mathématique | Groupes quantiques | Champs, Théorie quantique des | MATHEMATICS -- Algebra -- Intermediate | Quantum groups | Representations of groups | Yang-Baxter equationGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Dynamical Yang-Baxter equation, representation theory, and quantum integrable systems.DDC classification: 512.482 LOC classification: QC174.52.Y36 | E85 2005ebOnline resources: Click here to access online
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.
Summary: 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.
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Includes bibliographical references (pages 135-137) and index.

Print version record.

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.

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.

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