论文标题
标准丝状谎言代数的中心和不变性
The center and invariants of standard filiform Lie algebras
论文作者
论文摘要
本文描述了通用包围代数的中心和标准丝状的不变环在特征零的磁场上躺在代数上，并且在足够大的主要特征上也是如此。我们确定商字段的显式发电机，也确定不变环的发电机的紧凑形式。我们证明了有关这些代数的希尔伯特系列的几个组合结果。
This paper describes the centers of the universal enveloping algebras and the invariant rings of the standard filiform Lie algebras over fields of characteristic zero and also over large enough prime characteristic. We determine explicit generators for the quotient fields and also a compact form for the generators for the invariants rings. We prove several combinatorial results concerning the Hilbert series of these algebras.
