03104nam 2200649Ia 450 991078495880332120200520144314.01-383-02499-51-281-34641-197866113464160-19-152392-5(CKB)1000000000409667(EBL)422449(OCoLC)476257240(SSID)ssj0000142021(PQKBManifestationID)11148650(PQKBTitleCode)TC0000142021(PQKBWorkID)10091506(PQKB)10085243(Au-PeEL)EBL422449(CaPaEBR)ebr10271506(CaONFJC)MIL134641(PPN)145856763(MiAaPQ)EBC422449(EXLCZ)99100000000040966720050817d2005 uy 0engur|n|---|||||txtccrThe dynamical Yang-Baxter equation, representation theory, and quantum integrable systems[electronic resource] /Pavel Etingof and Frédéric LatourOxford ;New York Oxford University Press20051 online resource (151 p.)Oxford lecture series in mathematics and its applications ;29Description based upon print version of record.0-19-853068-4 Includes bibliographical references and index.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; IndexThe 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 equOxford lecture series in mathematics and its applications ;29.Yang-Baxter equationRepresentations of quantum groupsQuantum groupsYang-Baxter equation.Representations of quantum groups.Quantum groups.512.482Etingof P. I(Pavel I.),1969-61154Latour Frédéric738240MiAaPQMiAaPQMiAaPQBOOK9910784958803321Dynamical Yang-Baxter equation, representation theory, and quantum integrable systems1462121UNINA