Skew-Hopf对的二重交叉积

Double Crossproducts of Skew-Hopf Pairs

本文构造了Ｓｋｅｗ－Ｈｏｐｆ对（Ｘ，Ａ）的二重交叉积Ｄ（Ｘ；Ａ），它从维数，双线 性形式的选择等多方面包括Ｄｒｉｎｆｅｌｄ量子ｄｏｕｂｌｅ作为一种特殊情况，并且由它可以 证明几类重要Ｈｏｐｆ代数的二重交叉积的存在．

Double crossproducts D(X, A) of Skew-Hopf pairs (X, A) were constructed, which includes Drinfeld quantum double as special case, and which implies several important Hopf algebras exist double crossproducts.