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Record Nr. |
UNINA9910827869703321 |
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Autore |
Nakano Daniel (Daniel Ken), <1964-> |
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Titolo |
Projective modules over Lie algebras of Cartan type / / Daniel K. Nakano |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1992 |
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©1992 |
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ISBN |
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Descrizione fisica |
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1 online resource (97 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 490 |
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Disciplina |
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Soggetti |
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Lie algebras |
Projective modules (Algebra) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 1992, Volume 98, Number 470 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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