𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lots of Hopf Algebras

✍ Scribed by Jeanne Duflot

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
258 KB
Volume
204
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to give a ''universal'' construction of Hopf algebras over any commutative ring. The mod-p Steenrod algebras are all examples of this construction; other examples of Hopf algebras related to the mod-p Steenrod algebras are also produced. Then we give an argument to produce deformations of these Hopf algebras via ''twisting.'' The techniques of this paper are, in a way, ''scheme-theoretic,'' producing many rather complicated Hopf algebras, only a few of which are studied in any detail here; however, we hope to return to the study of some of these Hopf algebras in future work.

πŸ“œ SIMILAR VOLUMES

Biperfect Hopf Algebras
Biperfect Hopf Algebras
✍ Pavel Etingof; Shlomo Gelaki; Robert Guralnick; Jan Saxl πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 53 KB
Faithful Flatness of Hopf Algebras
Faithful Flatness of Hopf Algebras
✍ A. Masuoka; D. Wigner πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 302 KB
Pointed Hopf Algebras of Dimensionp3
Pointed Hopf Algebras of Dimensionp3
✍ S Caenepeel; S DΔƒscΔƒlescu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 165 KB

We give a structure theorem for pointed Hopf algebras of dimension p 3 , having coradical kC , where k is an algebraically closed field of characteristic zero. p Combining this with previous results, we obtain the complete classification of all pointed Hopf algebras of dimension p 3 .

Transfer for Hopf Algebras
Transfer for Hopf Algebras
✍ Mark Feshbach πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 232 KB