The simplest stationary subalgebras, for compact linear Lie algebras
O. G. Styrt
TL;DR
This paper establishes conditions under which irreducible compact linear Lie algebras have vectors with specific low-dimensional stationary subalgebras, advancing understanding of their structure.
Contribution
It provides new sufficient conditions for the existence of vectors with one-dimensional or three-dimensional stationary subalgebras in such Lie algebras.
Findings
Conditions for existence of vectors with 1D stationary subalgebras
Conditions for existence of vectors with 3D stationary subalgebras
Enhanced classification of compact linear Lie algebras
Abstract
Sufficient conditions are obtained for the existence of a vector with a one-dimensional or simple three-dimensional stationary subalgebra for an irreducible compact linear Lie algebra.
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