On the product by generators of characteristically nilpotent Lie S-algebras

[摘要] We show that the product by generators preserves the characteristic nilpotence of Lie algebras, provided that the multiplied algebras belongs to the class of S-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras h such that the quotient dim h dim Z(h)/dim Z(h) is as small as wanted. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-11-01