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Infinite Dimensional Lie Superalgebras.
Infinite Dimensional Lie Superalgebras.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
1992.
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| Colección: | De Gruyter expositions in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; List of Symbols; Chapter 1. Basic facts about Lie superalgebras; 0. Some background; 1. Graded algebras; 2. Identical relations of graded algebras; Exercises; Comments to Chapter 1; Chapter 2. The structure of free Lie superalgebras; 1. The free colour Lie superalgebra, s-regular words and monomials; 2. Bases of free colour Lie superalgebras; 3. The freeness of subalgebras and its corollaries; 4. Bases and subalgebras of free colour Lie p-superalgebras; 5. The lattice of finitely generated subalgebras; 6. Free colour Lie super-rings; Comments to Chapter 2
- Chapter 3. Composition techniques in the theory of Lie superalgebras 1. The Diamond Lemma for associative rings; 2. Universal enveloping algebras; 3. The Composition Lemma; 4. Free products with amalgamated subalgebra; Comments to Chapter 3; Chapter 4. Identities in enveloping algebras; 1. Main results; 2. Delta-sets; 3. Identities in enveloping algebras of nilpotent Lie superalgebras; 4. The case of characteristic zero; Comments to Chapter 4; Chapter 5. Irreducible representations of Lie superalgebras; 1. The Jacobson radical of universal enveloping algebras
- 2. Dimensions of irreducible representations 3. More on restricted enveloping algebras; 4. Examples; Comments to Chapter 5; Chapter 6. Finiteness conditions for colour Lie superalgebras with identities; 1. Various types of finiteness conditions. Examples; 2. Maximal condition and Hopf property; 3. Sufficient conditions for residual finiteness; 4. Representability of Lie superalgebras by matrices; Comments to Chapter 6; Bibliography; Author Index; Subject Index