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## A method to compute partial actions

### Martini Grasiela

#### Universidade Federal do Rio Grande, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloak7e8be1397600d97e3479c3360e23dc26').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addy7e8be1397600d97e3479c3360e23dc26 = 'gr&#97;s&#105;&#101;l&#97;.m&#97;rt&#105;n&#105;' + '&#64;'; addy7e8be1397600d97e3479c3360e23dc26 = addy7e8be1397600d97e3479c3360e23dc26 + 'gm&#97;&#105;l' + '&#46;' + 'c&#111;m'; var addy_text7e8be1397600d97e3479c3360e23dc26 = 'gr&#97;s&#105;&#101;l&#97;.m&#97;rt&#105;n&#105;' + '&#64;' + 'gm&#97;&#105;l' + '&#46;' + 'c&#111;m';document.getElementById('cloak7e8be1397600d97e3479c3360e23dc26').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy7e8be1397600d97e3479c3360e23dc26 + '\'>'+addy_text7e8be1397600d97e3479c3360e23dc26+'<\/a>';

In this work a method to compute partial actions of a given Hopf algebra on its base field is developed and, as an application, we exhibit all partial actions of such type for some families of Hopf algebras.

Joint work with Antonio Paques (Universidade Federal do Rio Grande do Sul, Brazil) and Leonardo Silva (Universidade Federal de Santa Maria, Brazil).