Journal of Lie Theory· 2026Q2
Characterising semi-simple Lie algebras by their Borel nilpotent radical
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- Q2SCImago
- 2026year
Short summary
Semi-simple Lie algebras can be uniquely identified by their maximal nilpotent subalgebra, which is equivalent to the nilpotent radical of a Borel subalgebra.
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Key points
- Semi-simple Lie algebras are characterized by their maximal nilpotent subalgebra.
- This maximal nilpotent subalgebra is identical to the nilpotent radical of a Borel subalgebra.
- This provides a new structural invariant for Lie algebra classification.
AI-generated from the title and abstract; the full text is not read.
Abstract
We show that semi-simple Lie algebras can be characterized by their maximal nilpotent subalgebra, which is the same as the nilpotent radical of a Borel subalgebra.
The authors' abstract, as published at the source. Journal of Lie Theory, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics