Quantum Theory, Groups and Representations

The book emphasizes the foundational aspects of quantum mechanics through the lens of Lie groups, Lie algebras, and their unitary representations, highlighting the mathematical structures involved. It caters to both mathematics and physics students, providing insights into the mathematical underpinnings of quantum theory while contrasting typical mathematical and physical approaches. The latter sections delve into key mathematical objects within the Standard Model of particle physics, showcasing the interplay between mathematics and physics. Accessible to those with basic calculus and linear algebra knowledge, the book includes numerous exercises for skill development.