Outer derivations of complex solvable Lie algebras with nilradical of maximal rank

2020/01/18 by Abdurasulov, K. K., Gaybullayev, R. Q.
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2001.06622

Abstract

In the present paper we prove the existence outer derivations finite-dimensional solvable Lie algebras with nilradical of maximal rank and complementary subspace to nilardical of dimension less than rank of the nilradical.

Related

• On solvable Lie superalgebras of maximal rank
• Local derivations on Solvable Lie algebras
• Extensions of solvable Lie algebras with naturally graded filiform nilradical
• Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals
• On the problem of classifying solvable Lie algebras having small codimensional derived algebras