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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""
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606   $aProjective modules (Algebra)
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