Ok I dit it.

What I didn't know is that I had to do two things. First I had to override the field. I did it with the legacy syntax because it didn't seem to work with the new one:

_columns = {
     'total_invoiced': fields.function(_invoice_total, string="Total Invoiced", type='float', groups='account.group_account_invoice'),
}

But I didn't know that I also had to allow the group to see the corresponding view.

To do that, two ways: GUI or code.

First, find the xml_id of the view you want to show.

You can do it in the Config > Groups > Your group and Views tabs.

In my case, it was account.partner_view_buttons.

Then, add a view line in the views tab of your target group.

To do it with xml file:

		<record id="sale.group_sale_invoice" model="res.groups">

			<field name="name">Watch Invoices</field>

			<field name="category_id" ref="base.module_category_sales_management"/>

                            <!-- The following line does the trick -->			                            <field name="view_access" eval="[(4, ref('account.partner_view_buttons'),0)]" />

		</record>