Affiliation:
1. College of Engineering Nanjing Agricultural University Nanjing 210031, Jiangsu P.R. CHINA
Abstract
Abstract
Let q be a prime number, k an algebraically closed field of characteristic 0, and H a non-trivial semisimple Hopf algebra of dimension 2q3. This paper proves that H can be constructed either from group algebras and their duals by means of extensions, or from Radford’s biproduct H ≅R#kG, where kG is the group algebra of G of order 2, R is a semisimple Yetter-Drinfeld Hopf algebra in kG
kGYD of dimension q3.