02583nam 2200553 450 991082786970332120170918215920.01-4704-0896-1(CKB)3360000000464654(EBL)3113923(SSID)ssj0000889155(PQKBManifestationID)11478608(PQKBTitleCode)TC0000889155(PQKBWorkID)10875641(PQKB)10221579(MiAaPQ)EBC3113923(RPAM)614586(PPN)195413539(EXLCZ)99336000000046465420140905h19921992 uy 0engur|n|---|||||txtccrProjective modules over Lie algebras of Cartan type /Daniel K. NakanoProvidence, Rhode Island :American Mathematical Society,1992.©19921 online resource (97 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 490"July 1992, Volume 98, Number 470 (first of 4 numbers)."0-8218-2530-5 Includes bibliographical references.""Table of Contents""; ""Introduction""; ""I. The Brauer-BGG Reciprocity Theorem""; ""Â1.1. Introduction/Notation""; ""Â1.2. Equivalence between Simples and Projectives in C and C[sub(gr)]""; ""Â1.3. V[sup(±)][sub(proj)] Filtrations of Projectives""; ""II. Verma Modules over Generalized Witt Algebras""; ""Â2.1. Introduction/Notation""; ""Â2.2. An Explicit Module Action for the Induced Module""; ""Â2.3. The Reduction Theorem""; ""Â2.4. Properties of the Total Derivative Homomorphism""; ""Â2.5. Simplicity of the Image Î?(A[sub(l)][T])""""III. Cartan Invariants for Lie Algebras of Cartan Type""""Â3.1. Decomposition of the Cartan Matrix for Types W and K""; ""Â3.2. W(m,1) and K(m,1) are of One Block Type""; ""Â3.3. The Cartan Invariants for U(W(l,1)) and U(W(2,1))""; ""Â3.4. The Cartan Invariants for U(W(m,n))""; ""References""Memoirs of the American Mathematical Society ;Number 490.Lie algebrasProjective modules (Algebra)Lie algebras.Projective modules (Algebra)512/.55Nakano Daniel(Daniel Ken),1964-1599701MiAaPQMiAaPQMiAaPQBOOK9910827869703321Projective modules over Lie algebras of Cartan type3922478UNINA