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Lie Algebras (Dover Books On Mathematics)
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Lie Group Theory, Developed By M. Sophus Lie In The Nineteenth Century, Ranks Among The More Important Developments In Modern Mathematics. Lie Algebras Comprise A Significant Part Of Lie Group Theory And Are Being Actively Studied Today. This Book, By Professor Nathan Jacobson Of Yale, Is The Definitive Treatment Of The Subject And Can Be Used As A Text For Graduate Courses.Chapter 1 Introduces Basic Concepts That Are Necessary For An Understanding Of Structure Theory, While The Following Three Chapters Present The Theory Itself: Solvable And Nilpotent Lie Algebras, Cartans Criterion And Its Consequences, And Split Semisimple Lie Algebras. Chapter 5, On Universal Enveloping Algebras, Provides The Abstract Concepts Underlying Representation Theory. The Basic Results On Representation Theory Are Given In Three Succeeding Chapters: The Theorem Of Adoiwasawa, Classification Of Irreducible Modules, And Characters Of The Irreducible Modules. In Chapter 9 The Automorphisms Of Semisimple Lie Algebras Over An Algebraically Closed Field Of Characteristic Zero Are Determined. These Results Are Applied In Chapter 10 To The Problems Of Sorting Out The Simple Lie Algebras Over An Arbitrary Field. The Reader, To Fully Benefit From This Tenth Chapter, Should Have Some Knowledge About The Notions Of Galois Theory And Some Of The Results Of The Wedderburn Structure Theory Of Associative Algebras.Nathan Jacobson, Presently Henry Ford Ii Professor Of Mathematics At Yale University, Is A Wellknown Authority In The Field Of Abstract Algebra. His Book, Lie Algebras, Is A Classic Handbook Both For Researchers And Students. Though It Presupposes Knowledge Of Linear Algebra, It Is Not Overly Theoretical And Can Be Readily Used For Selfstudy.
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- Q: What is the size of the book? A: The book measures six point four six inches in length, zero point seven one inches in width, and eight point two seven inches in height.
- Q: How many pages does this book have? A: This book contains three hundred fifty-two pages, providing a comprehensive exploration of Lie algebras.
- Q: What type of binding does the book have? A: The book is available in paperback binding, making it lightweight and easy to handle.
- Q: Who is the author of this book? A: The author of this book is Nathan Jacobson, a prominent figure in the field of abstract algebra.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for readers with some knowledge of linear algebra, making it accessible for graduate students.
- Q: What topics are covered in this book? A: The book covers fundamental concepts of Lie algebras, representation theory, and automorphisms of semi-simple Lie algebras.
- Q: How should I care for this book? A: To keep the book in good condition, store it in a cool, dry place and avoid exposure to direct sunlight.
- Q: Can I use this book for self-study? A: Yes, this book is designed for self-study, providing clear explanations and examples for independent learners.
- Q: Are there any prerequisites for reading this book? A: Yes, a basic understanding of linear algebra is recommended to fully benefit from the content.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for return instructions and possible replacement options.
- Q: Is there a warranty for this book? A: Generally, books do not come with a warranty; however, check the seller's return policy for specific conditions.
- Q: How do I return the book if I’m not satisfied? A: To return the book, follow the seller's return policy instructions, which typically include initiating the return through their website.
- Q: Is this book suitable for advanced readers? A: Yes, advanced readers and researchers will find valuable insights and comprehensive coverage of Lie algebras.
- Q: What is unique about this book compared to others? A: This book is considered a definitive treatment of Lie algebras, authored by a well-known authority in abstract algebra.
- Q: Where can I buy this book? A: You can purchase this book through various online retailers and bookstores that stock academic publications.