Infinite dimensional Lie superalgebras /

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Bibliographic Details
Imprint:Berlin ; New York : W. de Gruyter, 1992.
Description:x, 250 p.; 24 cm.
Language:English
Series:De Gruyter expositions in mathematics 0938-6572 ; 7
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1391297
Hidden Bibliographic Details
Other authors / contributors:Bakhturin, I͡U. A.
ISBN:3110129744 (acid-free)
Notes:Includes bibliographical references (p. [237]-246) and indexes.

MARC

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245 0 0 |a Infinite dimensional Lie superalgebras /  |c by Yuri A. Bahturin ... [et al.]. 
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300 |a x, 250 p.;  |c 24 cm. 
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440 0 |a De Gruyter expositions in mathematics  |x 0938-6572 ;  |v 7 
504 |a Includes bibliographical references (p. [237]-246) and indexes. 
505 2 0 |g Ch. 1.  |t Basic facts about Lie superalgebras.  |g 0.  |t Some background.  |g 1.  |t Graded algebras.  |g 2.  |t Identical relations of graded algebras --  |g Ch. 2.  |t The structure of free Lie superalgebras.  |g 1.  |t The free colour Lie superalgebra, s-regular words and monomials.  |g 2.  |t Bases of free colour Lie superalgebras.  |g 3.  |t The freeness of subalgebras and its corollaries.  |g 4.  |t Bases and subalgebras of free colour Lie p-superalgebras.  |g 5.  |t The lattice of finitely generated subalgebras.  |g 6.  |t Free colour Lie super-rings --  |g Ch. 3.  |t Composition techniques in the theory of Lie superalgebras.  |g 1.  |t The Diamond Lemma for associative rings.  |g 2.  |t Universal enveloping algebras.  |g 3.  |t The Composition Lemma.  |g 4.  |t Free products with amalgamated subalgebra --  |g Ch. 4.  |t Identities in enveloping algebras.  |g 1.  |t Main results.  |g 2.  |t Delta-sets.  |g 3.  |t Identities in enveloping algebras of nilpotent Lie superalgebras.  |g 4.  |t The case of characteristic zero --  |g Ch. 5.  |t Irreducible representations of Lie superalgebras.  |g 1.  |t The Jacobson radical of universal enveloping algebras.  |g 2.  |t Dimensions of irreducible representations.  |g 3.  |t More on restricted enveloping algebras --  |g Ch. 6.  |t Finiteness conditions for color Lie superalgebras with identities.  |g 1.  |t Various types of finiteness conditions. Examples.  |g 2.  |t Maximal condition and Hopf property.  |g 3.  |t Sufficient conditions for residual finiteness.  |g 4.  |t Representability of Lie superalgebras by matrices. 
650 0 |a Lie algebras  |0 http://id.loc.gov/authorities/subjects/sh85076782 
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927 |t Library of Congress classification  |a QA252.3.I540 1992  |l ASR  |c ASR-SciASR  |e CRERAR  |b 37035206  |i 2750609