A solvability criterion for the Lie algebra of derivations of a fat point

被引：5

作者：

Schulze, Mathias ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 10期

关键词：

Fat point; Derivation; Lie algebra; Solvability; Hypersurface singularity; Milnor algebra; Tyurina algebra; Yau algebra;

D O I：

10.1016/j.jalgebra.2010.01.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Lie algebra of derivations of a zero-dimensional local complex algebra. We describe an inequality involving the embedding dimension, the order, and the first deviation that forces this Lie algebra to be solvable. Our result was motivated by and generalizes the solvability of the Yau algebra of an isolated hypersurface singularity. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2916 / 2921

页数：6

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