TY - JOUR
AU1 - Safa, Hesam
AU2 - Biyogmam, Guy R.
AB - We study the notion of Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-isoclinism on Leibniz n-algebras. This is isoclinism on Leibniz n-algebras relative to Filippov algebras. We provide equivalent conditions under which Leibniz n-algebras are Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-isoclinic. Also, we provide a characterization of Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-stem Leibniz n-algebras, and show that each Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-isoclinic class of Leibniz n-algebras contains a Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-stem Leibniz n-algebra. Moreover, this Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-stem Leibniz n-algebra has minimum dimension among finite dimensional Leibniz n-algebras in that class. Finally, we define the notion of factor sets on Leibniz n-algebras and analyze their connection with Lie\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathsf {Lie}$$\end{document}-stem Leibniz n-algebras.
TI - Lie\documentclass[12pt]{minimal}				\usepackage{amsmath}				\usepackage{wasysym}				\usepackage{amsfonts}				\usepackage{amssymb}				\usepackage{amsbsy}				\usepackage{mathrsfs}				\usepackage{upgreek}				\setlength{\oddsidemargin}{-69pt}				\begin{document}$$\mathsf {Lie}$$\end{document}-isoclinism in Leibniz n-algebras
JF - São Paulo Journal of Mathematical Sciences
DO - 10.1007/s40863-022-00302-2
DA - 2023-12-01
UR - https://www.deepdyve.com/lp/springer-journals/lie-documentclass-12pt-minimal-usepackage-amsmath-usepackage-wasysym-KCZPwRbSBR
SP - 774
EP - 788
VL - 17
IS - 2
DP - DeepDyve
ER -