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Infinite Dimensional Lie Superalgebras.

Infinite Dimensional Lie Superalgebras.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mikhalev, A. V. (Aleksandr Vasilʹevich)
Otros Autores: Bahturin, Yuri, Petrogradsky, Viktor M., Zaicev, Mikhail V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 1992.
Colección:De Gruyter expositions in mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Mikhalev, A. V.  |q (Aleksandr Vasilʹevich)  |1 https://id.oclc.org/worldcat/entity/E39PCjKkvqFT6qPkrDVdPbJjyd 
245 1 0 |a Infinite Dimensional Lie Superalgebras. 
260 |a Berlin :  |b De Gruyter,  |c 1992. 
300 |a 1 online resource (260 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter Expositions in Mathematics ;  |v v. 7 
588 0 |a Print version record. 
520 |a Infinite Dimensional Lie Superalgebras. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Lie algebras. 
650 0 |a Lie superalgebras. 
650 6 |a Algèbres de Lie. 
650 6 |a Superalgèbres de Lie. 
650 7 |a Lie algebras  |2 fast 
650 7 |a Lie superalgebras  |2 fast 
700 1 |a Bahturin, Yuri. 
700 1 |a Petrogradsky, Viktor M. 
700 1 |a Zaicev, Mikhail V. 
776 0 8 |i Print version:  |z 9783110129748 
830 0 |a De Gruyter expositions in mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=937142  |z Texto completo 
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994 |a 92  |b IZTAP