On some formula in connected cocommutative Hopf algebras over a field of characteristic 0

Wiśniewski, Piotr

Colloquium Mathematicae, Tome 84/85 (2000), p. 271-279 / Harvested from The Polish Digital Mathematics Library

Résumé

Let H be a cocommutative connected Hopf algebra, where K is a field of characteristic zero. Let $H^{+} = K e r$ and $h^{+} = h - (h)$ for $h \in H$ . We prove that $d_{h} = \sum_{r = 1}^{\infty} ({(- 1)}^{r + 1} / r) \sum h_{1}^{+} . . . h_{r}^{+}$ is primitive, where $\sum h_{1} \otimes . . . \otimes h_{r} = Δ_{r - 1} (h)$ .

Publié le : 2000-01-01

Zbl 0962.16029

EUDML-ID : urn:eudml:doc:210786

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     author = {Piotr Wi\'sniewski},
     title = {On some formula in connected cocommutative Hopf algebras over a field of characteristic 0},
     journal = {Colloquium Mathematicae},
     volume = {84/85},
     year = {2000},
     pages = {271-279},
     zbl = {0962.16029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p271bwm}
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Wiśniewski, Piotr. On some formula in connected cocommutative Hopf algebras over a field of characteristic 0. Colloquium Mathematicae, Tome 84/85 (2000) pp. 271-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p271bwm/

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