中文

仿 Hopf 代数胚及其循环上同调

K理论与同调 2007-05-23 v7

摘要

我们引入「仿 Hopf 代数胚(para-Hopf algebroid)」的概念,并仿照 Connes-Moscovici 关于 Hopf 代数的循环上同调来定义其循环上同调。仿 Hopf 代数胚与 Hopf 代数胚密切相关但有所不同。其定义的动机在于试图一般地定义 Hopf 代数胚的循环上同调理论。我们证明许多 Hopf 代数结构,包括 Connes-Moscovici 代数 HFM\mathcal{H}_{FM},都是仿 Hopf 代数胚。

关键词

引用

@article{arxiv.math/0105105,
  title  = {Para-Hopf algebroids and their cyclic cohomology},
  author = {M. Khalkhali and B. Rangipour},
  journal= {arXiv preprint arXiv:math/0105105},
  year   = {2007}
}

备注

Final version to appear in Letters in Mathematical Physics. The name of the article has been changed. Our new class of bialgebroids are now called ``para-Hopf algebroids''. One new example of bialgebroids, due to Connes and Moscovici, are shown to satisfy our axioms of para-Hopf algebroids