𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Co-Frobenius Hopf algebras and the coradical filtration

✍ Scribed by N. Andruskiewitsch; S. Dascalescu

Publisher
Springer-Verlag
Year
2003
Tongue
French
Weight
132 KB
Volume
243
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Galois Extensions for Co-Frobenius Hopf
Galois Extensions for Co-Frobenius Hopf Algebras
✍ M. Beattie; S. Dăscălescu; Ş. Raianu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 253 KB

For H an infinite dimensional co-Frobenius Hopf algebra over a field k, and A an H-comodule algebra, the smash product A࠻H \* r at is linked to the ring of coinvariants A c o H by a Morita context. We use the Morita setting to show that for co-Frobenius H, equivalent conditions for ArA c o H to be G

Finiteness Conditions, Co-Frobenius Hopf
Finiteness Conditions, Co-Frobenius Hopf Algebras, and Quantum Groups
✍ M Beattie; S Dăscălescu; L Grünenfelder; C Năstăsescu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 241 KB

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

Frobenius Extensions and Weak Hopf Algeb
Frobenius Extensions and Weak Hopf Algebras
✍ Lars Kadison; Dmitri Nikshych 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 211 KB

We study a symmetric Markov extension of k-algebras N → M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases with a separability property. We place a depth two condition on this extension, which is essentially the requirement that th

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

Computing the Frobenius–Schur Indicator
Computing the Frobenius–Schur Indicator for Abelian Extensions of Hopf Algebras
✍ Y. Kashina; G. Mason; S. Montgomery 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 201 KB

2 × 2 . If H is abelian of order 8, we may use K = k H \* , and if H is abelian of order 4 we use K = kD 8 \* . If H ∼ = D 8 , then in the two possible examples, one has K = kD 8 \* and the other has K = kQ 8 \* . If H ∼ = 2 × 2 × 2 then H has two simple degree 2 characters, χ 1 and χ 2 , and they