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: Text

TextSeries: Oxford lecture series in mathematics and its applications ; 29.Publication details: Oxford ; New York : Oxford University Press, ©2005.Description: 1 online resource (xi, 137 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

0191523925
9780191523922
9786611346416
6611346414
0198530684
9780198530688

Subject(s): Genre/Form:

Additional physical formats: Print version:: Dynamical Yang-Baxter equation, representation theory, and quantum integrable systems.DDC classification:

512.482 22

LOC classification:

QC174.52.Y36 E85 2005eb

Online 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.

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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