Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail.
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an ad hoc introduction for physicists
评分A very good introduction to discrete group theory, Lie groups, Lie algebras, and their representation. There are some typos, which yet does not influence the reading. Many examples are discussed before abstract theory is introduced. Several advanced topics such as super Lie algebras are also included, though not in detail.
评分an ad hoc introduction for physicists
评分an ad hoc introduction for physicists
评分A very good introduction to discrete group theory, Lie groups, Lie algebras, and their representation. There are some typos, which yet does not influence the reading. Many examples are discussed before abstract theory is introduced. Several advanced topics such as super Lie algebras are also included, though not in detail.
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