Hi,
What you can do is to create three custom fields of the table "product" and of the type "single dropdown" (or something like that) via the menu Display>Custom fields, one for the publisher, one for the writer and one for the translator. In each one you enter all the possible values.
Then, in your products you'll be able to select the writer, the publisher and the translator. And you can then create filters of the type "dropdown" applying on these custom fields.
That way, on your products listing, you'll be able to filter the books based on these three custom fields thanks to three dropdowns.
The functioning is a bit different from what you said in your first message but that's the closest I can see without any coding.
This would require HikaShop Business.