𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Groups of coalgebra morphisms and the Zassenhaus formulae

✍ Scribed by Hans Scheerer; Klaus Schuch


Publisher
Springer
Year
1990
Tongue
English
Weight
601 KB
Volume
35
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis


Working in the setting of graded algebra we study the groups of coalgebra morphisms from connected cocommutative coalgebras to connected Hopf algebras. We show that, under certain conditions, these groups have presentations closely related to the Zassenhaus formulae. Furthermore, a new proof of these formulae is given.


πŸ“œ SIMILAR VOLUMES


The Brauer Group of Irreducible Coalgebr
✍ J Cuadra; J.R Garcı́a Rozas; B Torrecillas; F Van Oystaeyen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 159 KB

That is, for a cocommuta-Ε½ . Ε½ . Ε½ . tive irreducible coalgebra C, the homomorphism y \*: Br C Βͺ Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ε½ . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ε½ . Some cases wher

Generalized Restricted Lie Algebras and
✍ Bin Shu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 309 KB

Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with