论文标题
混合与稳定的抗尚未drinfeld的抗模块
Mixed vs Stable Anti-Yetter-Drinfeld Contramodule
论文作者
论文摘要
我们检查了有限的尺寸HOPF代数的单体模块类别的循环同源性，这是由于有必要证明最近引入的混合混合的抗Yetter-drinfeld常规和通常的稳定稳定的抗蛋白料抗drinfeld-drinfeld contampodamodamodamodales之间存在差异。即，我们表明Sweedler的Hopf代数提供了一个示例，其中稳定的抗象征 - drinfeld contramodopules（以前研究的）类别中的混合复合物不相等，因为差异类别类别属于混合的抗抗Byetter-Drinfeld Contamodules（最近引入）。
We examine the cyclic homology of the monoidal category of modules over a finite dimensional Hopf algebra, motivated by the need to demonstrate that there is a difference between the recently introduced mixed anti-Yetter-Drinfeld contramodules and the usual stable anti-Yetter-Drinfeld contramodules. Namely, we show that Sweedler's Hopf algebra provides an example where mixed complexes in the category of stable anti-Yetter-Drinfeld contramodules (previously studied) are not equivalent, as differential graded categories to the category of mixed anti-Yetter-Drinfeld contramodules (recently introduced).
