On Pointed Hopf Algebras with classical Weyl Groups

Details On Pointed Hopf Algebras with classical Weyl Groups On Pointed Hopf Algebras with classical Weyl Groups

2009-02-27

arxiv.org/abs/0902.4748v2

Mathematics

Quantum Algebra

20pages

Scientific paper

Many cases of infinite dimensional Nichols algebras of irreducible
Yetter-Drinfeld modules over classical Weyl groups are found. It is proved that
except a few cases Nichols algebras of reducible Yetter-Drinfeld modules over
classical Weyl groups are infinite dimensional. Some finite dimensional Nichols
algebras of Yetter-Drinfeld modules over classical Weyl groups are given.

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