双交叉积与斜Pairing

Double Cross Product and Skew Pairing

研究一般的双交叉积.首先介绍了匹配的双代数(或Hopf代数)对(X,A)及相应的双交叉积X∞A,然后介绍了斜Pairing,并通过卷积可逆的斜Pairing构造了双交叉积X∞τA,给出了双交叉积X∞τA的结构.

In this paper,we mainly investigate the general double cross product.At first,we introduce a pair（X,A）of matched double algebra（or Hopf algebra）and the corresponding double cross product X∞A.Then,we introduce the skew pairing and construct a double cross product X∞τAthrough a convolution invertible skew pairing and describe the construction of the double cross product X∞τA.