Duality theorem and Drinfeld double in braided tensor categories

作者：Zhang; SC

来源：Algebra Colloquium, 2003, 10(2): 127-134.

• Hopf algebra
• braided tensor category
• duality theorem
• Drinfeld double

Let (C, circle times, I, C) be a braided tensor category. For a finite Hopf algebra H in C with C-H,C-H = C-H,H(-1) the duality theorem is shown, i.e.,
(R#H)#H (*) over cap congruent to R circle times (H (⊗) over bar H (*) over cap)
Was algebras in C: Also, it is proved that the Drinfeld double (D(H), [b]) is a quasi-triangular Hopf algebra in C.

• 出版日期2003-6
• 单位湖南大学