非交换情形下单演扩张的上同调
K理论与同调
2007-06-13 v2
摘要
我们将单演扩张的概念推广到非交换情形，并研究此类扩张的 Hochschild 上同调环。作为一个应用，我们完成了在 [S. M. Burciu and S. J. Witherspoon, Hochschild cohomology of smash products and rank one Hopf algebras] 中开始的秩一 Hopf 代数的上同调环的计算。
引用
@article{arxiv.math/0702390,
title = {The cohomology of monogenic extensions in the noncommutative setting},
author = {Marco Farinati and Jorge A. Guccione and Juan J. Guccione},
journal= {arXiv preprint arXiv:math/0702390},
year = {2007}
}
备注
25 pages. Some examples added, and also the Gerstenhaber structure is computed in a big family of examples, including the rank one Hopf algebras