Sometimes I go deep wiki some nights in mathematics. Representation theory and Set Theory are the only sane ways I know of on how to approach higher mathematics

Sometimes I go deep wiki some nights in mathematics. Representation theory and Set Theory are the only sane ways I know of on how to approach higher mathematics. But it’s their practical applications in software that amazes me. Take Young Tabs (https://en.wikipedia.org/wiki/Young_tableau https://en.wikipedia.org/wiki/Young_tableau) and Hook Lengths for example. I’ve been playing with the concept that you could use Young Tabs and Hook Lengths to represent groups of FSMs in metric space if you wanted to know mathematically if one FSM could be topologically sorted into a congruent FSM.