Groups of coalgebra morphisms and the Zassenhaus formulae
β 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.
β¦ 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.
π SIMILAR VOLUMES
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 MoritaαTakeuchi 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
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