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3 votes
0 answers
134 views

Generalized wreath products of commutative algebras with Hopf algebras

Fix $k$ a commutative ring (or, if more convenient, assume it’s a field or even an algebraically closed field of characteristic 0, which is the case I’m mainly interested in). Let $A$ be a unital ...
David Gao's user avatar
  • 2,830
5 votes
1 answer
139 views

Bicrossed and bismash product of Hopf algebras

I have been recently studying different methods to construct Hopf algebras. In Theorem IX.2.3 of "Quantum groups" by Kassel the bicrossed product of a pair of matched bialgebras (or Hopf ...
dm82424's user avatar
  • 370
7 votes
1 answer
647 views

Classification of quasitriangular Hopf algebras

The classification of hopf algebras is a big and open problem, containing various subproblems (such as: the classification of groups, of Lie algebras, the study of special classes such as (co)...
Konstantinos Kanakoglou's user avatar