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On nilpotent generators of the Lie algebra sln

Article ID Journal Published Year Pages File Type
9500047 Linear Algebra and its Applications 2018 7 Pages PDF
Abstract
Consider the special linear Lie algebra sln(K) over an infinite field of characteristic different from 2. We prove that for any nonzero nilpotent X there exists a nilpotent Y such that the matrices X and Y generate the Lie algebra sln(K).
Keywords
15A0417B0517B22primarysecondaryLie algebraCommutatorNilpotent matrixGenerators
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On nilpotent generators of the Lie algebra sln
Authors
Alisa Chistopolskaya,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A04
17B05
17B22
primary
secondary
Lie algebra
Commutator
Nilpotent matrix
Generators
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
Journal of Functional Analysis
Journal of Number Theory
Journal of Pure and Applied Algebra
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