中文

关于S_n中某些共轭类关联的 pointwise Hopf代数

量子代数 2007-06-13 v4

摘要

我们证明,任何以SnS_nπ\pi的共轭类为无穷小编织的pointed Hopf代数都是无限维的,如果π\pi的阶为奇数,或者π\pi是奇阶不相交轮换的乘积且恰有两个对换。

关键词

引用

@article{arxiv.math/0511020,
  title  = {On pointed Hopf algebras associated to some conjugacy classes in S_n},
  author = {Nicol'as Andruskiewitsch and Shouchuan Zhang},
  journal= {arXiv preprint arXiv:math/0511020},
  year   = {2007}
}

备注

10 pages. In the second version, the title is shortened and some minor mistakes are corrected. In the third version, Lemma 2.2 is improved. The fourth version, to appear in Proc. Amer. Math. Soc., contains a few remarks suggested by the referee