# Lie Groups and their applications to Particle Physics: A Tutorial for Undergraduate Physics Majors.

@article{Huang2020LieGA, title={Lie Groups and their applications to Particle Physics: A Tutorial for Undergraduate Physics Majors.}, author={Jia-Hui Huang}, journal={arXiv: Mathematical Physics}, year={2020} }

Symmetry lies at the heart of todays theoretical study of particle physics. Our manuscript is a tutorial introducing foundational mathematics for understanding physical symmetries. We start from basic group theory and representation theory. We then introduce Lie Groups and Lie Algebra and their properties. We next discuss with detail two important Lie Groups in physics Special Unitary and Lorentz Group, with an emphasis on their applications to particle physics. Finally, we introduce field…

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