I would like to know if it's possible to give a user a global admin privileges constrained to a specific project.
I would like this user to be able to change issue types and to change the workflow as he wants.
No. The admin function is for all of the JIRA instance. Because JIRA allows use of all the building blocks (fields, schemes,workflows, screens, etc.) by any project you want to have a gatekeeper for modifying anything that may impact another project. It could be disastrous if the admin for project A decided to delete a field from a screen also used by project B when they still use the field.
It's currently not possible out of the box. We at Wittified have an add-on on the Atlassian Marketplace: Delegated Administration for JIRA ( https://marketplace.atlassian.com/plugins/com.wittified.jira.delegated-admin ) that can help though.
It allows you to delegated the selection of:
In addition to this you the admins can control their own Permissions and Notification schemes. We are in the process of adding more items into this area.
Of course all of these are under access control so that you can restrict how much access you want to give out.
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