On Description of Leibniz Algebras Corresponding to sl 2

被引：26

作者：

Omirov, B. A. ^{[1
]}

Rakhimov, I. S. ^{[2
,3
]}

Turdibaev, R. M. ^{[4
]}

机构：

[1] Uzbek Acad Sci, Inst Math & Informat Technol, Tashkent 100125, Uzbekistan

[2] Univ Putra Malaysia, Inst Math Res INSPEM, FS, Serdang 43400, Selangor Darul, Malaysia

[3] Univ Putra Malaysia, FS, Dept Math, Serdang 43400, Selangor Darul, Malaysia

[4] Natl Univ Uzbekistan, Dept Math, Tashkent 100174, Uzbekistan

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 05期

关键词：

Leibniz algebra; Lie algebra; Irreducible module; Simple Leibniz algebra; INVARIANTS; SUBCLASS;

D O I：

10.1007/s10468-012-9367-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl (2). It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I.

引用

页码：1507 / 1519

页数：13

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