2 problems

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The dimension-three two-dimensional subalgebra conjecture for Lie $p$ -algebras
Two-dimensional subalgebra conjecture. $L$ contains a two-dimensional subalgebra.
Conjectureopenlie-algebras restricted-lie-algebras subalgebrasarXiv posted 2 days ago
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The slicing and projection conjecture for subalgebras of complex Lie algebras
The authors consider regular subalgebras of a complex Lie algebra, whose root systems are subsets of the root system of the full algebra, and special subalgebras, which are not of…
Conjectureopenlie-algebras root-systems subalgebrasarXiv posted 2 days ago

The dimension-three two-dimensional subalgebra conjecture for Lie ppp-algebras