Almost inner derivations of 2-step nilpotent Lie algebras of genus 2
| Autor: | Bert Verbeke, Dietrich Burde, Karel Dekimpe |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Pure mathematics Commutator Algebra and Number Theory 17B30 17D25 010102 general mathematics Mathematics - Rings and Algebras 010103 numerical & computational mathematics 01 natural sciences Nilpotent Mathematics::Algebraic Geometry Rings and Algebras (math.RA) Genus (mathematics) Lie algebra FOS: Mathematics Discrete Mathematics and Combinatorics Elementary divisors Geometry and Topology Ideal (ring theory) 0101 mathematics Algebraically closed field Real number Mathematics |
| Zdroj: | Linear Algebra and its Applications. 608:185-202 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2020.08.023 |
| Popis: | We study almost inner derivations of 2-step nilpotent Lie algebras of genus 2, i.e., having a 2-dimensional commutator ideal, using matrix pencils. In particular we determine all almost inner derivations of such algebras in terms of minimal indices and elementary divisors over an arbitrary algebraically closed field of characteristic not 2 and over the real numbers. |
| Databáze: | OpenAIRE |
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