Some Remarks Concerning the Invariants of Rank One Solvable Real Lie Algebras

• 来源期刊: 代数集刊(英文版)
• 关键词: solvable Lie algebras invariants nilradical
• 年，卷（期）: 2005,（3）
• 页码范围: 497-518
• 页数: 22页
• 语种: 英文

摘要

A corrected and completed list of six dimensional real Lie algebras with five dimensional nilradical is presented. Their invariants for the coadjoint representation are computed and some results on the invariants of solvable Lie algebras in arbitrary dimension whose nilradical has codimension one are also given. Specifically, it is shown that any rank one solvable Lie algebra of dimension n without invariants determines a family of (n +2k)-dimensional algebras with the same property.