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Lie-Hopf algebras and their Hopf cyclic cohomology
Lie-Hopf algebras Hopf cyclic cohomology
2011/2/24
The correspondence between Lie algebras, Lie groups, and alge-braic groups, on one side and commutative Hopf algebras on the other side are known for a long time by works of Hochschild-Mostow and othe...
Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Structure of semisimple Hopf algebras of dimension $p^2q^2$
semisimple Hopf algebra semisolvability character biproduct
2010/12/8
Let p, q be prime numbers with p4 < q, and k an algebraically closed field of characteristic 0. We show that semisimple Hopf algebras of dimension p2q2 can be constructed either from group algebras an...