REPRESENTATIONS OF FINITE AND LIE GROUPS,Used

REPRESENTATIONS OF FINITE AND LIE GROUPS,Used

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This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the noncompact Lie group SL2(P).

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Frequently Asked Questions

  • Q: What is the main focus of 'Representations of Finite and Lie Groups'? A: The book focuses on providing an introduction to representations of finite and compact groups, covering essential topics such as the relationship between representations and characters, irreducible representations, and induced representations.
  • Q: Who is the author of this book? A: The author of 'Representations of Finite and Lie Groups' is Charles B. Thomas.
  • Q: When was this book published? A: The book was published on October 11, 2004.
  • Q: How many pages does the book contain? A: The book contains 156 pages.
  • Q: What type of binding does this book have? A: This book is available in a paperback binding.
  • Q: Is this book suitable for beginners in algebraic geometry? A: Yes, it provides foundational knowledge on representations and is structured to be accessible for those new to the subject.
  • Q: Does the book include examples for better understanding? A: Yes, the book includes illustrative examples, such as the symmetric group Sn, to aid in understanding the concepts discussed.
  • Q: What topics are emphasized in the book? A: The book emphasizes exterior powers and includes discussions comparing representations of the finite group SL2(p) and the non-compact Lie group SL2(P).
  • Q: Can this book be useful for advanced studies in group theory? A: Yes, while it serves as an introduction, the book also addresses complex topics that can benefit advanced studies in group theory.
  • Q: What is the condition of the book? A: The book is in new condition.