Some complete Lie algebras

[摘要] We give the derivation algebra DerH and the holomorph h(H) of the finite dimensional Heisenberg algebra H over the complex field C. We also give the derivation algebra Der h(H) of h(H). We prove that Der(H) is a simple complete Lie algebra, h(H) is not a complete Lie algebra, but its derivation algebra Der h(H) is a simple complete Lie algebra. (C) 1996 Academic Press, Inc.

[发布日期] 1996-12-15