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010   $a9786611346416
010   $a0-19-152392-5
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100   $a20050817d2005      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe dynamical Yang-Baxter equation, representation theory, and quantum integrable systems$b[electronic resource] /$fPavel Etingof and Fre?de?ric Latour
210   $aOxford ;$aNew York $cOxford University Press$d2005
215   $a1 online resource (151 p.)
225 1 $aOxford lecture series in mathematics and its applications ;$v29
300   $aDescription based upon print version of record.
311   $a0-19-853068-4 
320   $aIncludes bibliographical references and index.
327   $aContents; 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
330   $aThe text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras. - ;The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equ
410  0$aOxford lecture series in mathematics and its applications ;$v29.
606   $aYang-Baxter equation
606   $aRepresentations of quantum groups
606   $aQuantum groups
615  0$aYang-Baxter equation.
615  0$aRepresentations of quantum groups.
615  0$aQuantum groups.
676   $a512.482
700   $aEtingof$b P. I$g(Pavel I.),$f1969-$061154
701   $aLatour$b Fre?de?ric$0738240
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910819142703321
996   $aDynamical Yang-Baxter equation, representation theory, and quantum integrable systems$91462121
997   $aUNINA