How I can translate product's informations (descriptions, short description, title, ...) in a lot of languages (English, French, German, ...) without creating the product multiple times for each language?
Can I do that just with store view in Magento?
In Magento you create store views (System > Store Management) for different languages. Then you can change most product attributes for each store view separately (or use the default value if you choose not to).
Switch the store view for which you want to edit the attributes at the top left:
