𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Coactions, Smash Products, and Hopf Modules

✍ Scribed by C.R. Cai; H.X. Chen


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
478 KB
Volume
167
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Maschke Type Theorem for Doi–Hopf Modu
✍ S. Caenepeel; G. Militaru; Zhu Shenglin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 239 KB

We prove a Maschke type theorem for Doi᎐Hopf modules. A sufficient condition in order to have a Maschke type property is that there exists a normalized integral map for the Doi᎐Hopf datum in question. The results are applied to graded modules and to Yetter᎐Drinfel'd modules. As another application,

Duality and Rational Modules in Hopf Alg
✍ J.Y Abuhlail; J Gómez-Torrecillas; F.J Lobillo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 155 KB

Let A be an algebra over a commutative ring R. If R is noetherian and A • is pure in R A , then the categories of rational left A-modules and right A • -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con

Co-Frobenius Hopf Algebras: Integrals, D
✍ 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

Modules, Comodules, and Cotensor Product
✍ Lowell Abrams 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 95 KB

We characterize noncommutative Frobenius algebras A in terms of the existence of a coproduct which is a map of left A e -modules. We show that the category Ž . of right left comodules over A, relative to this coproduct, is isomorphic to the Ž . category of right left modules. This isomorphism enable

Homological Aspects of Noetherian PI Hop
✍ K.A. Brown; K.R. Goodearl 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 314 KB

We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c