关于有限维代数的分类
环与代数
2015-09-24 v3
摘要
本文探讨了有限维代数在基变换下的分类与不变量。定义了结构常数空间中的一个不变开稠密子集（在 Zariski 拓扑下）。对结构常数属于该集合的代数进行了分类，并给出了结构常数不变量有理函数域的一组基。
引用
@article{arxiv.1504.01194,
title = {On classification of finite dimensional algebras},
author = {Ural Bekbaev},
journal= {arXiv preprint arXiv:1504.01194},
year = {2015}
}
备注
The main changes are due to the drop of the statement on rationality of the extension $F\subset F(x)^{GL(m,F)}$ from Theorem 2.2 because lack of justification. In section 2 instead of $GL(m,F)$ any algebraic subgroup $G$ of it is considered