Quantum Theory, Groups and Representations

Focusing on the mathematical foundations of quantum mechanics, this text highlights the significance of Lie groups, Lie algebras, and their unitary representations. It distinguishes itself from standard physics courses by emphasizing mathematical structure, appealing to both mathematics and physics students. The latter sections delve into key mathematical concepts relevant to the Standard Model of particle physics, illustrating the interplay between mathematics and physical theories. Accessible to those with a background in multivariable calculus and linear algebra, the book includes numerous exercises to reinforce understanding.