Semisimple Lie Algebras And Their Representations (Dover Books On Mathematics),New

Semisimple Lie Algebras And Their Representations (Dover Books On Mathematics),New

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Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topics include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.

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Frequently Asked Questions

  • Q: What is the main focus of 'Semi-Simple Lie Algebras and Their Representations'? A: The book primarily focuses on introducing students of particle physics to techniques applicable to all simple Lie algebras, particularly in the context of grand unification theories.
  • Q: Who is the author of this book? A: The author is Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory.
  • Q: What topics are covered in this book? A: Topics include the killing form, structure of simple Lie algebras, representations, classical and exceptional Lie algebras, Casimir operators, Weyl groups, and branching rules.
  • Q: What is the publication date of this edition? A: This edition was published on March 17, 2006.
  • Q: Is this book suitable for beginners in mathematics? A: The book is designed for students already familiar with SU(2) and SU(3), so it may not be ideal for complete beginners in mathematics.
  • Q: How many pages does the book have? A: The book contains a total of 174 pages.
  • Q: What is the binding type of this book? A: The book is available in paperback binding.
  • Q: Is the book in new condition? A: Yes, the book is offered in new condition.
  • Q: Does this edition include any updates or new content? A: Yes, the author has provided a new preface for this edition, which may include updates or reflections on the material.
  • Q: What is the significance of the topics discussed in the book for students of particle physics? A: Understanding Lie algebras is crucial for advancing in particle physics, especially for those studying theories related to grand unification.