Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems

被引：1

作者：

Li, Qiang ^{[1
]}

Ma, Lili ^{[1
]}

机构：

[1] Qiqihar Univ, Sch Sci, Qiqihar 161006, Peoples R China

来源：

MATHEMATICS | 2023年 / 11卷 / 04期

关键词：

Hom-delta-Jordan Lie supertriple system; cohomology; deformation; Nijenhuis operator; abelian extension; 1-PARAMETER FORMAL DEFORMATIONS; ALGEBRAS; SUPERALGEBRAS; COHOMOLOGY;

D O I：

10.3390/math11040871

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Representations and cohomologies of Hom-delta-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-delta-Jordan Lie supertriple systems are discussed. We obtain the infinitesimal deformation generated by virtue of a Nijenhuis operator. It is obtained that the sufficient and necessary condition for the equivalence of abelian extensions of Hom-delta-Jordan Lie supertriple systems.

引用

页数：15

共 23 条

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[22] 1-parameter formal deformations and abelian extensions of Lie color triple systems
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[23] Cohomology and 1-Parameter Formal Deformations of Hom-δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}-Lie Triple Systems
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Advances in Applied Clifford Algebras, 2019, 29 (4)

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