有限维单实代数上除分级的分类
环与代数
2015-12-23 v2
摘要
我们对有限维单实代数上的除分级（由阿贝尔群给出）进行了分类，分类在同构和等价意义下成立。有限维单代数上的分级由除分级决定，因此我们的结果给出了此类代数上（不一定是除）分级的同构分类。二元域上的线性代数在证明中扮演了有趣的角色。
引用
@article{arxiv.1506.01552,
title = {Classification of division gradings on finite-dimensional simple real algebras},
author = {Adrián Rodrigo-Escudero},
journal= {arXiv preprint arXiv:1506.01552},
year = {2015}
}
备注
15 pages. This is the accepted manuscript (it includes the referee's suggestions) of the article published in Linear Algebra and its Applications