On Lie gradings II
124
TL;DR: The maximal Abelian subgroups (MAD-subgroups) of diagonizable automorphisms in A ut(gl(n,C)) were studied in this article.
read more
About: This article is published in Linear Algebra and its Applications. The article was published on 15 Jun 1998. and is currently open access. The article focuses on the topics: Outer automorphism group & Automorphism.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Hom-Lie Algebras with a Set Grading
TL;DR: In this article, it was shown that the decomposition of a regular Hom-Lie algebra is the direct sum of the family of its minimal graded ideals, each one being a simple set-graded regular hom-lie algebra.
Techniques of graphs in the study of the structure of graded modules
TL;DR: The homogeneous indecomposability, the homogeneous semisimplicity and thehomogeneous simplicity of ( V, W ) are characterized in terms of this graph.
•Posted Content
Gradings by Groups on Melikyan Algebras
TL;DR: In this article, the authors describe all gradings by abelian groups without elements of order five on the Melikyan algebras over algebraically closed fields and show that all these gradings can be expressed as follows.
Gradings on associative algebras with involution and real forms of classical simple Lie algebras
TL;DR: In this article, the authors studied the fine gradings of simple Lie algebras with involution over real numbers and any real closed field, and showed that any grading on a finite-dimensional algebra can be obtained from them via a group homomorphism.
•Posted Content
Fine gradings of complex simple Lie algebras and Finite Root Systems
TL;DR: In this article, the authors define a finite root system, which is a subset of a finite abelian group satisfying certain axioms, and show that the set of roots of such subgroups is always a root system.
References
•Book
Differential Geometry, Lie Groups, and Symmetric Spaces
Sigurdur Helgason
- 01 Jan 1978
TL;DR: In this article, the structure of semisimplepleasure Lie groups and Lie algebras is studied. But the classification of simple Lie algesbras and of symmetric spaces is left open.