【摘要】 设H和A为有限维Hopf代数,H*(A)=Hom(H,A).证明了H*(A)关于其上的卷积代数结构和卷积余代数结构构成一个Hopf代数.利用适当形式,构造了H*(A)上的拟三角结构.当A=k,普通对偶H*=H*(k)可视为卷积Hopf代数的一个特例.更多还原

【Abstract】 Let H and A be finite-dimensional Hopf algebras and H~ *(A) = Hom(H, A). In this paper, we prove that H~ *(A) is a Hopf algebra with the convolution algebra structure and convolution coalgebra structure of H~ *(A). Under some appropriate forms, the quasitriangular structure of H~ *(A) is constructed as well. The usual dual H~*=H~ *(k) can be viewed as a special case of the convolution Hopf algebra, when A=k.更多还原