一类量子化Borcherds超代数的Hopf自同构群

Hopf Automorphism Group of a Class of Quantized Borcherds Superalgebras

讨论了有限集I上的量子化Borcherds超代数(记为U),通过构造U上的一些Hopf自同构,刻画了U的Hopf超代数自同构群结构,U的Hopf超代数自同构群是对角自同构群和Dynkin图自同构群的半直积.

In this paper, the quantized Borcherds superalgebras in finite set I are discussed （denoted by U）. By constructing some Hopf automorphisms on U, the structure of Hopf automorphism group of quantized Borcherds superalgebras is characterized. The group of the Hopf superalgebra automorphisms of U is the semiproduct of the group of diagonal automorphisms by the group of Dynkin diagram automorphisms.