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EnglishLet K be a field of positive characteristic $p > 0$. We study the coactions of the Hopf algebra of the multiplicative group $H_m$ with underlying algebra $H = K[X_1, \dots, X_m](X_1^{s_1}, \dots, X_n^{s_n})$, $n \geq 1, s_1 \geq \dots \geq s_n \geq 1$ on a K-algebra A. We give the rule for the set of additive endomorphisms of A, that define a coactions of $H_m$ on A commutative. For $s_1 = \dots = s_n = 1$ we obtain the explicit expression of such coactions in terms of n derivations of A.
| Titolo: | Coactions of Hopf Algebras on Algebras in Positive Characteristic |
| Autori: | |
| Data di pubblicazione: | 2010 |
| Rivista: | |
| Abstract: | Let K be a field of positive characteristic $p > 0$. We study the coactions of the Hopf algebra of the multiplicative group $H_m$ with underlying algebra $H = K[X_1, \dots, X_m](X_1^{s_1}, \dots, X_n^{s_n})$, $n \geq 1, s_1 \geq \dots \geq s_n \geq 1$ on a K-algebra A. We give the rule for the set of additive endomorphisms of A, that define a coactions of $H_m$ on A commutative. For $s_1 = \dots = s_n = 1$ we obtain the explicit expression of such coactions in terms of n derivations of A. |
| Handle: | http://hdl.handle.net/11570/1902107 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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