Algebra of the Standard Model

This is theoretical particle physics and involves a lot of Quantum (field) theory.

If you want to understand about this, you need to learn about quantum mechanics and (special) relativity. Lie groups are the relevant symmetry groups to learn.

If you are interested, there is a nice little book "Lie groups for pedestrians" by Lipkins.

If you know nothing about theoretical physics, a popular guide is Nobel laureate t'Hoofts https://goodtheorist.science/