1300 187 187
| Preface | |
| List of Symbols | |
| Basic facts about Lie superalgebras | |
| Some background | p. 1 |
| Graded algebras | p. 4 |
| Identical relations of graded algebras | p. 22 |
| The structure of free Lie superalgebras | |
| The free colour Lie superalgebra, s-regular words and monomials | p. 39 |
| Bases of free colour Lie superalgebras | p. 44 |
| The freeness of subalgebras and its corollaries | p. 53 |
| Bases and subalgebras of free colour Lie p-superalgebras | p. 69 |
| The lattice of finitely generated subalgebras | p. 75 |
| Free colour Lie super-rings | p. 78 |
| Composition techniques in the theory of Lie superalgebras | |
| The Diamond Lemma for associative rings | p. 81 |
| Universal enveloping algebras | p. 84 |
| The Composition Lemma | p. 95 |
| Free products with amalgamated subalgebra | p. 105 |
| Identities in enveloping algebras | |
| Main results | p. 111 |
| Delta-sets | p. 123 |
| Identities in enveloping algebras of nilpotent Lie superalgebras | p. 129 |
| The case of characteristic zero | p. 136 |
| Irreducible representations of Lie superalgebras | |
| The Jacobson radical of universal enveloping algebras | p. 147 |
| Dimensions of irreducible representations | p. 152 |
| More on restricted enveloping algebras | p. 160 |
| Finiteness conditions for color Lie superalgebras with identities | |
| Various types of finiteness conditions. Examples | p. 175 |
| Maximal condition and Hopf property | p. 180 |
| Sufficient conditions for residual finiteness | p. 201 |
| Representability of Lie superalgebras by matrices | p. 210 |
| Bibliography | p. 237 |
| Author Index | p. 247 |
| Subject Index | p. 249 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9783110129748
ISBN-10: 3110129744
Series: De Gruyter Expositions in Mathematics
Audience:
Professional
For Ages: 22+ years old
Format:
Hardcover
Language:
English
Number Of Pages: 260
Published: 1st November 1992
Dimensions (cm): 23.0 x 15.5
x 2.4
Weight (kg): 0.59
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