Mathematics – Quantum Algebra
Scientific paper
2008-04-16
Mathematics
Quantum Algebra
44pages
Scientific paper
All -1-type pointed Hopf algebras and central quantum linear spaces with Weyl groups of exceptional type are found. It is proved that every non -1-type pointed Hopf algebra with real $G(H)$ is infinite dimensional and every central quantum linear space over finite group is finite dimensional. It is proved that except a few cases Nichols algebras of reducible Yetter-Drinfeld modules over Weyl groups of exceptional type are infinite dimensional.
Cheng Jing
Wang Peng
Yang Hui
Zhang Shouchuan
Zhang Yao-Zhong
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