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Differential Hopf Algebra Structures on the Universal Enveloping Algebra of a LieAlgebra

机译：Liealgebra作者：刘莹，数学杂志JOURNaL OF maTHEmaTICs李代数的通用包络代数上的差分Hopf代数结构

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The authors discuss a method to construct a De Rham complex (differentialalgebra) of Poincare-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra g. The authors determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebra structure of U(g). The construction of such differential structures is interpreted in terms of color Lie superalgebras.

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作者
van den Hijligenberg, N.; Martini, R.;
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年度 1995
页码 p.1-12
总页数 12
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Algebra; Lie algebras; Hopf algebras; Quantum theory;

机译：代数;李代数; Hopf代数;量子理论;

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专利

1. DIFFERENTIAL HOPF ALGEBRA STRUCTURES ON THE UNIVERSAL ENVELOPING ALGEBRA OF A LIE ALGEBRA [J] . Vandenhijligenberg N., Martini R. Journal of Mathematical Physics . 1996,第1期

机译：李代数的通用包络代数上的微分霍夫代数结构
2. The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras [J] . Guo Mengtian, Hu Xianguo, Lu Jiafeng, Communications in algebra . 2018,第5a6期

机译：差分分级泊松Hopf代数的通用包络代数上的结构
3. The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras [J] . Guo Mengtian, Hu Xianguo, Lu Jiafeng, Communications in algebra . 2018,第5a6期

机译：差分分级泊松Hopf代数的通用包络代数上的结构
4. On universal representations and universal enveloping locally C*-algebras for locally JB-algebras [C] . Alexander A. Katz, Oleg Friedman USA-Uzbekistan Conference on Analysis and Mathematical Physics . 2016

机译：在局部jb-代数的通用表示和通用包围地区C * -algebras
5. Integral Bases for the Universal Enveloping Algebras of Map Algebras. [D] . Chamberlin, Samuel Herron. 2011

机译：地图代数的通用包络代数的积分基础。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Differential Hopf algebra structures on the Universal Enveloping Algebra of a Lie Algebra [O] . van den Hijligenberg, N.W., van den Hijligenberg, N., Martini, Ruud 1995

机译：李代数的通用包络代数上的差分Hopf代数结构
8. Hopf-algebraic structure of combinatorial objects and differential operators [R] . Grossman, Robert, Larson, Richard G. 1989

机译：组合对象和微分算子的Hopf-代数结构

Differential Hopf Algebra Structures on the Universal Enveloping Algebra of a LieAlgebra

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