Embeddings in Lie algebras of subexponential growth

2017/12/19 by Alahmadi, Adel, Alsulami, Hamed
#16P90 #17B65 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1712.07302

Abstract

We prove that an arbitrary countable dimensional Lie algebra over a field of characteristic ≠ 2 that is locally of subexponential growth is embeddable in a finitely generated Lie algebra of subexponential growth.

Related

• Algebras and semigroups of locally subexponential growth
• Growth of subalgebras and subideals in free Lie algebras
• Growth of finitely generated simple Lie algebras
• On growth of metabelian Lie algebras
• Strong containment of saturated formations of soluble Lie algebras