A Different Perspective on H-like Lie Algebras

摘要

We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in so(R-q), translating the classification problem for H-like Lie algebras to an equivalent problem in linear algebra. We study properties of H-like Lie algebras, present new methods for constructing them, including tensor products and central sums, and we classify H-like Lie algebras whose associated J(Z)-maps have real rank two for all nonzero Z.