LEADER 02583nam 2200553 450 001 9910827869703321 005 20170918215920.0 010 $a1-4704-0896-1 035 $a(CKB)3360000000464654 035 $a(EBL)3113923 035 $a(SSID)ssj0000889155 035 $a(PQKBManifestationID)11478608 035 $a(PQKBTitleCode)TC0000889155 035 $a(PQKBWorkID)10875641 035 $a(PQKB)10221579 035 $a(MiAaPQ)EBC3113923 035 $a(RPAM)614586 035 $a(PPN)195413539 035 $a(EXLCZ)993360000000464654 100 $a20140905h19921992 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProjective modules over Lie algebras of Cartan type /$fDaniel K. Nakano 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1992. 210 4$d©1992 215 $a1 online resource (97 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 490 300 $a"July 1992, Volume 98, Number 470 (first of 4 numbers)." 311 $a0-8218-2530-5 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""Introduction""; ""I. The Brauer-BGG Reciprocity Theorem""; ""A?1.1. Introduction/Notation""; ""A?1.2. Equivalence between Simples and Projectives in C and C[sub(gr)]""; ""A?1.3. V[sup(A?±)][sub(proj)] Filtrations of Projectives""; ""II. Verma Modules over Generalized Witt Algebras""; ""A?2.1. Introduction/Notation""; ""A?2.2. An Explicit Module Action for the Induced Module""; ""A?2.3. The Reduction Theorem""; ""A?2.4. Properties of the Total Derivative Homomorphism""; ""A?2.5. Simplicity of the Image I??(A[sub(l)][T])"" 327 $a""III. Cartan Invariants for Lie Algebras of Cartan Type""""A?3.1. Decomposition of the Cartan Matrix for Types W and K""; ""A?3.2. W(m,1) and K(m,1) are of One Block Type""; ""A?3.3. The Cartan Invariants for U(W(l,1)) and U(W(2,1))""; ""A?3.4. The Cartan Invariants for U(W(m,n))""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 490. 606 $aLie algebras 606 $aProjective modules (Algebra) 615 0$aLie algebras. 615 0$aProjective modules (Algebra) 676 $a512/.55 700 $aNakano$b Daniel$g(Daniel Ken),$f1964-$01599701 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827869703321 996 $aProjective modules over Lie algebras of Cartan type$93922478 997 $aUNINA