Weak hopf algebras corresponding to borcherds-cartan matrices

作者：Ye Li Xia^*; Wu Zhi Xiang; Mei Xue Feng

来源：Acta Mathematica Sinica-English Series, 2007, 23(10): 1729-1744.

DOI：10.1007/s10114-007-0950-8

• weak Hopf algebra
• weak quantum generalized Kae-Moody algebra
• highest weight module
• weak A-form

Let S be a generalized Kac-Moody algebra with an integral Borcherds-Cartan matrix. In this paper, we define a d-type weak quantum generalized Kac-Moody algebra wU(q)(d)(g), which is a weak Hopf algebra. We also study the highest weight module over the weak quantum algebra wU(q)(d)(g) and weak A-forms of wU(q)(d)(g).

• 出版日期2007-10
• 单位浙江大学