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A classification of low dimensional multiplicative Hom-Lie superalgebras

100%

Wang C., Zhang Q., Wei Z.

Open Mathematics

2016

tom 14

nr 1

613-628

We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.

On dimension of the Schur multiplier of nilpotent Lie algebras

76%

Niroomand P.

Open Mathematics

2011

tom 9

nr 1

57-64

Let L be an n-dimensional non-abelian nilpotent Lie algebra and $$ s(L) = \frac{1} {2}(n - 1)(n - 2) + 1 - \dim M(L) $$ where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.

Ograniczanie wyników

2 Open Mathematics

1 Niroomand P.

1 Wang C.

1 Wei Z.

1 Zhang Q.

1 2016

1 2011

Wyniki wyszukiwania

A classification of low dimensional multiplicative Hom-Lie superalgebras

On dimension of the Schur multiplier of nilpotent Lie algebras