Leibniz algebras constructed by Witt algebras

被引：1

作者：

Camacho, L. M. ^{[1
]}

Omirov, B. A. ^{[2
]}

Kurbanbaev, T. K. ^{[3
]}

机构：

[1] Univ Seville, Dpto Matemat Aplicada 1, Avda Reina Mercedes, E-41012 Seville, Spain

[2] Natl Univ Uzbekistan, Dept Algebra & Funct Anal, Tashkent, Uzbekistan

[3] Uzbek Acad Sci, Inst Math, Tashkent, Uzbekistan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 10期

关键词：

Leibniz algebra; Witt Lie algebra; Leibniz representation; right Lie module; classification; REPRESENTATIONS; MODULES;

D O I：

10.1080/03081087.2018.1480704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.

引用

页码：2048 / 2064

页数：17

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