𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finiteness Conditions, Co-Frobenius Hopf Algebras, and Quantum Groups

✍ Scribed by M Beattie; S Dăscălescu; L Grünenfelder; C Năstăsescu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
241 KB
Volume
200
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Some finiteness conditions for infinite dimensional coalgebras, particularly right or left semiperfect coalgebras, or co-Frobenius Hopf algebras are studied. As well, examples of co-Frobenius Hopf algebras are constructed via a Hopf algebra structure on an Ore extension of a group algebra, and it is shown that bicrossproducts of co-Frobenius Hopf algebras are themselves co-Frobenius.

📜 SIMILAR VOLUMES

Co-Frobenius Hopf Algebras: Integrals, D
Co-Frobenius Hopf Algebras: Integrals, Doi–Koppinen Modules and Injective Objects
✍ S Dăscălescu; C Năstăsescu; B Torrecillas 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 143 KB

We investigate Hopf algebras with non-zero integral from a coalgebraic point of view. Categories of Doi-Koppinen modules are studied in the special case where the defining coalgebra is left and right semiperfect, and several pairs of adjoint functors are constructed. As applications we give a very s

Splitting Comodules over Hopf Algebras a
Splitting Comodules over Hopf Algebras and Application to Representation Theory of Quantum Groups of Type A0|0
✍ Phùng Hô Hai 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 156 KB

In this work we study some properties of comodules over Hopf algebras possessing integrals (co-Frobenius Hopf algebras). In particular we give a necessary and sufficient condition for a simple comodule to be injective. We apply the result obtained to the classification of representations of quantum