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- Title
On the Structure of Graded Leibniz Algebras.
- Authors
Martín, Antonio J. Calderón; Delgado, José M. Sánchez
- Abstract
We study the structure of graded Leibniz algebras with arbitrary dimension and over an arbitrary base field 핂. We show that any of such algebras 픏 with a symmetric G-support is of the form with U a subspace of 픏1, the homogeneous component associated to the unit element 1 in G, and any Ij a well described graded ideal of 픏, satisfying [Ij, Ik]=0 if j ≠ k. In the case of 픏 being of maximal length, we characterize the gr-simplicity of the algebra in terms of connections in the support of the grading.
- Subjects
DIMENSIONS; SYMMETRIC functions; SUBSPACES (Mathematics); STATISTICAL association; INFINITY (Mathematics)
- Publication
Algebra Colloquium, 2015, Vol 22, Issue 1, p83
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386715000085