有限维点 Hopf 代数的分类
量子代数
2010-06-29 v3
摘要
我们对有限维复 Hopf 代数 进行分类,这些代数是点状的,即其所有不可约余模都是一维的,并且其群状元素群 是阿贝尔群,使得 阶的所有素因子均 。由于这些 Hopf 代数结果上是一类自然的广义小量子群的形变,我们的结果可视为广义小量子群的公理描述。
引用
@article{arxiv.math/0502157,
title = {On the classification of finite-dimensional pointed Hopf algebras},
author = {N. Andruskiewitsch and H. -J. Schneider},
journal= {arXiv preprint arXiv:math/0502157},
year = {2010}
}
备注
38 pages. The determination of all isomorphisms between the Hopf algebras presented here is given. The title is changed. Third version: several improvements on the exposition mainly following suggestions of the referee