items 1: articleHeading: Group Representation Theory for Physicists
articleLink: https://arxiv.org/abs/math-ph/0005032
articleSummary: This resource provides an extensive treatment of group representation theory for physicists, covering theoretical foundations and practical applications.
articleTitle: arXiv
articleType: web_article
favicon: https://arxiv.org/favicon.ico
snippets: Group representation theory is a fundamental tool in theoretical physics, essential for understanding symmetries in physical systems., It describes how groups, which represent symmetries, can act on vector spaces, which represent physical states., Equivariant neural networks, which respect the symmetries of data, have been developed using the representations of reductive Lie groups.
type: ARTICLE
items 2: articleHeading: Unitary Symmetry
articleLink: https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.38.95
articleSummary: This article discusses the roles of unitary groups in quantum mechanics and the Standard Model of particle physics, and how their representations are used.
articleTitle: APS Journals
articleType: web_article
favicon: https://journals.aps.org/favicon.ico
snippets: Unitary groups, such as U(n) and SU(n), play significant roles in quantum mechanics and the Standard Model of particle physics., Their representations help in understanding the internal symmetries of particles and the formulation of gauge theories.
type: ARTICLE
