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Group Theory
Pierre Ramond
其他書名
A Physicist's Survey
出版
Cambridge University Press
, 2010-05-13
主題
Science / Physics / Mathematical & Computational
Mathematics / Applied
Mathematics / Algebra / General
ISBN
113948964X
9781139489645
URL
http://books.google.com.hk/books?id=0Vhc_c5SUpwC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.