It seems to me it may help, if you have not done so, to refresh yourself with some basic abstract math .. starting with set theory, topology, abstract algebra s

It seems to me it may help, if you have not done so, to refresh yourself with some basic abstract math .. starting with set theory, topology, abstract algebra such as group theory and group representation .. it would illustrate how to walk up and down on the abstraction ladder to get to the essence of the problems at hand .. once you have got the essence .. you would be liberated and can spin it any ways you like ..