LEADER 03509nam 2200577 450 001 9910480756603321 005 20170822123721.0 010 $a1-4704-0524-5 035 $a(CKB)3360000000465102 035 $a(EBL)3114124 035 $a(SSID)ssj0000889189 035 $a(PQKBManifestationID)11497178 035 $a(PQKBTitleCode)TC0000889189 035 $a(PQKBWorkID)10876187 035 $a(PQKB)11282699 035 $a(MiAaPQ)EBC3114124 035 $a(PPN)195418077 035 $a(EXLCZ)993360000000465102 100 $a20080709h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRepresentations of shifted Yangians and finite W-algebras /$fJonathan Brundan, Alexander Kleshchev 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (122 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 918 300 $a"November 2008, volume 196, number 918 (end of volume)." 311 $a0-8218-4216-1 320 $aIncludes bibliographical references (pages 105-107). 327 $a""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](I??)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms"" 327 $a""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(I??)"" 327 $a""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 918. 606 $aRepresentations of quantum groups 606 $aLie superalgebras 608 $aElectronic books. 615 0$aRepresentations of quantum groups. 615 0$aLie superalgebras. 676 $a512/.22 700 $aBrundan$b Jonathan$f1970-$0874462 702 $aKleshche?v$b A. S$g(Aleksandr Sergeevich), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480756603321 996 $aRepresentations of shifted Yangians and finite W-algebras$91975678 997 $aUNINA