A GENERALIZED DRINFELD QUANTUM DOUBLE CONSTRUCTION BASED ON WEAK HOPF ALGEBRAS

作者：Zhu Haixing; Wang Shuanhong^*

来源：Communications in Algebra, 2010, 38(1): 199-229.

DOI：10.1080/00927870902865860

• Quasitriangular structures
• Weak Hopf algebras
• Weak Hopf dual pairings
• Weak T-coalgebras

Let B and H be weak Hopf algebras with bijective antipodes S(B) and S(H), respectively. Based on a compatible weak Hopf dual pairing (B, H, sigma), we construct a generalized Drinfeld quantum double ID(B, H) which is a weak T-coalgebra over a twisted semi-direct square of groups. In particular, when B and H are finite dimensional and the above pairing map sigma is nondegenerate, ID(B, H) admits a nontrivial quasitriangular structure. Some explicit examples are given as an application of our theory.

• 出版日期2010
• 单位东南大学