LEADER 04320nam 22007332 450 001 9910450458003321 005 20160318094436.0 010 $a1-107-12625-8 010 $a1-280-41444-8 010 $a9786610414444 010 $a1-139-14792-7 010 $a0-511-18029-2 010 $a0-511-06522-1 010 $a0-511-05889-6 010 $a0-511-54284-4 010 $a0-511-30725-X 010 $a0-511-06735-6 035 $a(CKB)1000000000024238 035 $a(EBL)217874 035 $a(OCoLC)437068991 035 $a(SSID)ssj0000231307 035 $a(PQKBManifestationID)11190954 035 $a(PQKBTitleCode)TC0000231307 035 $a(PQKBWorkID)10198851 035 $a(PQKB)11397016 035 $a(UkCbUP)CR9780511542848 035 $a(MiAaPQ)EBC217874 035 $a(MiAaPQ)EBC4949528 035 $a(Au-PeEL)EBL217874 035 $a(CaPaEBR)ebr10068596 035 $a(Au-PeEL)EBL4949528 035 $a(CaONFJC)MIL41444 035 $a(EXLCZ)991000000000024238 100 $a20090505d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum groups and Lie theory /$fedited by Andrew Pressley$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (viii, 234 pages) $cdigital, PDF file(s) 225 1 $aLondon Mathematical Society lecture note series ;$v290 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-01040-3 320 $aIncludes bibliographical references. 327 $aLectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl? / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl. 330 $aSince its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems. 410 0$aLondon Mathematical Society lecture note series ;$v290. 517 3 $aQuantum Groups & Lie Theory 606 $aQuantum groups$vCongresses 606 $aLie groups$vCongresses 606 $aMathematical physics$vCongresses 615 0$aQuantum groups 615 0$aLie groups 615 0$aMathematical physics 676 $a530.15/255 702 $aPressley$b Andrew 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910450458003321 996 $aQuantum groups and Lie Theory$9377312 997 $aUNINA