On ID*-derivations of Filippov algebras

被引：9

作者：

Saeedi, F. ^{[1
]}

Sheikh-Mohseni, S. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 04期

关键词：

n-Lie algebra; ID*-derivation; isoclinism;

D O I：

10.1142/S179355711850050X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Filippov algebra. A derivation of L is called an ID-derivation if its image is contained in the derived algebra of L. Let ID* (L) be the set of all ID-derivations which map central elements to 0. We prove that ID* (L) and ID* (M) are isomorphic for any two isoclinic Filippov algebras L and M.

引用

页数：9

共 22 条

[1] ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A (n,n) [J].

Beites, Patricia D. ;

Pozhidaev, Alexander P. .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2008, 1 (04) :469-487

[2] Contractions of Filippov algebras [J].

de Azcarraga, Jose A. ;

Izquierdo, Jose M. ;

Picon, Moises .

JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (01)

[3] On the multiplier of nilpotent n-Lie algebras [J].

Eshrati, M. ;

Saeedi, F. ;

Darabi, H. .

JOURNAL OF ALGEBRA, 2016, 450 :162-172

[4]

FILIPPOV VT, 1985, SIBERIAN MATH J+, V26, P879

[5] δ-derivations of prime Lie algebras [J].

Filippov, VT .

SIBERIAN MATHEMATICAL JOURNAL, 1999, 40 (01) :174-184

[6] On δ-derivations of Lie algebras [J].

Filippov, VT .

SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (06) :1218-1230

[7] Supersymmetric reduced models with a symmetry based on Filippov algebra [J].

Furuuchi, Kazuyuki ;

Tomino, Dan .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (05)

[8] On Filippov algebroids and multiplicative Nambu-Poisson structures [J].

Grabowski, J ;

Marmo, G .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2000, 12 (01) :35-50

[9] Ternary derivations of generalized Cayley-Dickson algebras [J].

Jiménez-Gestal, C ;

Pérez-Izquierdo, JM .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (10) :5071-5094

[10]

Kaigorodov IB, 2014, ST PETERSB MATH J+, V25, P575

← 1 2 3 →