We study forms of coalgebras and Hopf algebras i.e., coalgebras and Hopf . algebras which are isomorphic after a suitable extension of the base field . We classify all forms of grouplike coalgebras according to the structure of their simple subcoalgebras. For Hopf algebras, given a W \*-Galois field
Hopf group-coalgebras
β Scribed by Alexis Virelizier
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 374 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0022-4049
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β¦ Synopsis
We study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We show the existence of integrals and traces for such coalgebras, and we generalize the main properties of quasitriangular and ribbon Hopf algebras to the setting of Hopf group-coalgebras.
π SIMILAR VOLUMES
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