UID:
almahu_9947360002702882
Format:
Online-Ressource (x, 250 p)
,
ill
Edition:
Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
ISBN:
3110129744 (acid-free)
,
9783110129748 (acid-free)
,
9783110851205
Series Statement:
De Gruyter expositions in mathematics 7
Content:
Infinite Dimensional Lie Superalgebras
Note:
Includes bibliographical references (p. [237]-246) and indexes
,
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.
,
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.
,
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.
Language:
English
DOI:
10.1515/9783110851205
URL:
http://www.degruyter.com/doi/book/10.1515/9783110851205
