PERFECT CROSSED-MODULES IN LIE-ALGEBRAS

被引：18

作者：

CASAS, JM ^{[1
]}

LADRA, M ^{[1
]}

机构：

[1] UNIV SANTIAGO,DEPT ALXEBRA,E-15771 SANTIAGO,SPAIN

来源：

COMMUNICATIONS IN ALGEBRA | 1995年 / 23卷 / 05期

关键词：

D O I：

10.1080/00927879508825300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work we study perfect crossed modules and universal central extensions, which are a generalization of perfect covers in Lie algebras to crossed modules category in Lie algebras, obtaining the next fundamental result:'' A crossed module is perfect if and only if it admits a universal central extension.''

引用

页码：1625 / 1644

页数：20

共 10 条

[1]

CASAS JM, 1990, ALXEBRA, V57

[2] A NON-ABELIAN TENSOR PRODUCT OF LIE-ALGEBRAS [J].

ELLIS, GJ .

GLASGOW MATHEMATICAL JOURNAL, 1991, 33 :101-120

[3]

Ellist G.J., 1984, THESIS U WALES

[4]

GARLAND H, 1980, PUBL IHES, V5, P5

[5]

GUIN D, 1986, COHOMOLOGIE NON ABEL

[6]

HILTON PJ, 1971, GRADUATE TEXTS MATH, V4

[7] CENTRAL EXTENSIONS OF LIE-ALGEBRAS [J].

KASSEL, C ;

LODAY, JL .

ANNALES DE L INSTITUT FOURIER, 1982, 32 (04) :119-142

[8] CO-HOMOLOGY NON-ABELIAN OF ALGEBRAIC STRUCTURES [J].

LAVENDHOMME, R ;

ROISIN, JR .

JOURNAL OF ALGEBRA, 1980, 67 (02) :385-414

[9] ACTIONS AND AUTOMORPHISMS OF CROSSED-MODULES [J].

NORRIE, K .

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1990, 118 (02) :129-146

[10] COMBINATORIAL HOMOTOPY .2. [J].

WHITEHEAD, JHC .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (05) :453-496

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