I'd like to meet explicit examples of dictionaries between two distinct fields of Mathematics (or between two "different" structures of Mathematics).
I'm not interested in the usual sense dictionary of mathematical terms, ie, in a Handbook with a list of entries to explain the meaning of words that appear in mathematics.
An example of dictionary Mathematica seems to me the Galois theorem that says that certain properties of the root's field of a algebraic polynomial of degree $n$ is equivalent to the properties of the permutation group of the roots of this polynomial. Correct me if I'm wrong.
I've heard talk that there are dictionaries for example between percolation theorems and theorems of complex variables. But I have no idea what can really be a dictionary between percolation theorems and theorems of variables complex variables.
In the end the concept seems very vague. I could answer what is a dictionary of mathematical structures? Please do not respond to the use of category theory. But if not possible, I think a response is satisfactory with interesting examples.