Properties of the Invariants of Solvable Lie Algebras

Canadian mathematical bulletin

关键词: convexity;    generalized numerical range;    matrices;   

DOI  :  10.4153/CMB-2000-054-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We generalize to a field of characteristic zero certain properties ofthe invariant functions of the coadjoint representation of solvableLie algebras with abelian nilradicals, previously obtained over thebase field $bC$ of complex numbers. In particular we determinetheir number and the restricted type of variables on which theydepend. We also determine an upper bound on the maximal number offunctionally independent invariants for certain families of solvableLie algebras with arbitrary nilradicals.

【 授权许可】

Unknown