"I study Latin literature."
Translation:Ego litteris Latinis studeo.
Litteris is not Accusative; it should be since it functions as the object of the sentence: I study literature, I study (it).
According to my dictionary "studēre" requires a dative complement when it means "to support": "alicui studeo" = "I support someone". Otherwise it should be accusative.
The object of studeo is in the dative. There are other verbs out there that do that as well.