Automorphisms of some solvable Leibniz algebras
I.A.Karimjanov, S.M.Umrzaqov
TL;DR
This paper characterizes the automorphism groups of certain solvable Leibniz algebras with specific nilradicals, enhancing understanding of their symmetry structures.
Contribution
It provides a detailed description of automorphisms for solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals.
Findings
Automorphisms of solvable Leibniz algebras with null-filiform nilradical are characterized.
Automorphisms of solvable Leibniz algebras with maximal-dimensional complementary space are described.
The structure of automorphism groups for these classes is explicitly determined.
Abstract
In this paper, we describe the automorphisms of solvable Leibniz algebras with null-filiform nilradical. Moreover we describe the automorphisms of solvable Leibniz algebras with naturally graded non-Lie filiform nilradicals, whose the dimension of complementary space is maximal.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Restless Legs Syndrome Research · Algebraic structures and combinatorial models