ON THE UNIVERSAL ENVELOPING ALGEBRA OF A LIE ALGEBROID

被引：28

作者：

Moerdijk, I. ^{[1
]}

Mrcun, J. ^{[2
]}

机构：

[1] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands

[2] Univ Ljubljana, Dept Math, Ljubljana 1000, Slovenia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 09期

关键词：

QUANTUM GROUPOIDS; HOPF ALGEBROIDS; ETALE GROUPOIDS;

D O I：

10.1090/S0002-9939-10-10347-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M resembles a Hopf algebra, and prove a Cartier-Milnor-Moore theorem for this type of structure.

引用

下载

页码：3135 / 3145

页数：11

共 50 条

[31] Subquotients in the enveloping algebra of a nilpotent Lie algebra
Currey, BN
JOURNAL OF LIE THEORY, 2001, 11 (02) : 355 - 379
[32] THE CENTRALIZER OF A LIE-ALGEBRA IN AN ENVELOPING ALGEBRA
JOHNSON, KD
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1989, 395 : 196 - 201
[33] FUNCTIONAL-EQUATIONS, FEINMAN INTEGRAL AND UNIVERSAL ENVELOPING LIE-ALGEBRA
TOLOKONNIKOV, GK
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1987, (01): : 79 - 82
[34] The universal enveloping algebra of the Witt algebra is not noetherian
Sierra, Susan J.
Walton, Chelsea
ADVANCES IN MATHEMATICS, 2014, 262 : 239 - 260
[35] DERIVATIONS OF THE LIE-ALGEBRA STRUCTURE OF THE ENVELOPING ALGEBRA OF A SEMISIMPLE LIE-ALGEBRA
DEWILDE, M
JASON, A
MUKILA, PMW
TOUSSET, E
VANHAUTEN, F
COCAIKO, J
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (11): : 1299 - 1304
[36] Krull dimension of the enveloping algebra of a semisimple Lie algebra
Levasseur, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (12) : 3519 - 3523
[37] On Ideals in the Enveloping Algebra of a Locally Simple Lie Algebra
Penkov, Ivan
Petukhov, Alexey
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (13) : 5196 - 5228
[38] ON ENVELOPING ALGEBRA AND DESCENDING CENTRAL SERIES OF A LIE ALGEBRA
KNUS, MA
JOURNAL OF ALGEBRA, 1969, 12 (03) : 335 - &
[39] SYMPLECTIC STRUCTURE IN ENVELOPING ALGEBRA OF A LIE-ALGEBRA
JOSEPH, A
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1974, 102 (01): : 75 - 83
[40] GROWTH OF LIE-ALGEBRAS AND EXISTENCE OF CLASSICAL DIVISION RING FOR UNIVERSAL ENVELOPING ALGEBRA
IANSON, IA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1994, (06): : 27 - 32

← 1 2 3 4 5 →