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一类量子化Borcherds超代数的Hopf自同构群
引用本文:张勇. 一类量子化Borcherds超代数的Hopf自同构群[J]. 沈阳化工学院学报, 2006, 20(4): 308-309,320
作者姓名:张勇
作者单位:盐城师范学院数学系,江苏,盐城,224002
摘    要: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,刺画了U的Hopf超代数自同构群结构,U的Hopt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.

关 键 词:量子化Borcherds超代数  Hopf超代数  自同构群
文章编号:1004-4639(2006)04-0308-02
收稿时间:2006-02-28
修稿时间:2006-02-28

Hopf Automorphism Group of a Class of Quantized Borcherds Superalgebras
ZHANG Yong. Hopf Automorphism Group of a Class of Quantized Borcherds Superalgebras[J]. Journal of Shenyang Institute of Chemical Technolgy, 2006, 20(4): 308-309,320
Authors:ZHANG Yong
Abstract: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.
Keywords:quantized Borcherds superalgebra   Hopf superalgebra   automorphism group
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