Is classic literature a common and intentional inspiration for the Coen Brothers?

It is widely accepted that "Oh Brother, Where Art Thou?" is a modern retelling of Homer's "Odyssey."

I can see some allusions to the Inferno chapters from Dante Alighieri's "Divine Comedy" in the film "Barton Fink". Wiki also cites it as a possible influence.

Are these allusions always deliberate? Do the Coen brothers set out to make modern interpretations or homages to classic literature in all, or at least most, of their films?

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