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Lie Groups, Lie Algebras, And Their Representation (Graduate Texts In Mathematics, Vol. 102) (Graduate Texts In Mathematics, 102
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This Book Has Grown Out Of A Set Of Lecture Notes I Had Prepared For A Course On Lie Groups In 1966. When I Lectured Again On The Subject In 1972, I Revised The Notes Substantially. It Is The Revised Version That Is Now Appearing In Book Form. The Theory Of Lie Groups Plays A Fundamental Role In Many Areas Of Mathematics. There Are A Number Of Books On The Subject Currently Available Most Notably Those Of Chevalley, Jacobson, And Bourbakiwhich Present Various Aspects Of The Theory In Great Depth. However, 1 Feei There Is A Need For A Single Book In English Which Develops Both The Algebraic And Analytic Aspects Of The Theory And Which Goes Into The Representation Theory Of Semi Simple Lie Groups And Lie Algebras In Detail. This Book Is An Attempt To Fiii This Need. It Is My Hope That This Book Will Introduce The Aspiring Graduate Student As Well As The Nonspecialist Mathematician To The Fundamental Themes Of The Subject. I Have Made No Attempt To Discuss Infinitedimensional Representations. This Is A Very Active Field, And A Proper Treatment Of It Would Require Another Volume (If Not More) Of This Size. However, The Reader Who Wants To Take Up This Theory Will Find That This Book Prepares Him Reasonably Well For That Task.
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- Q: What is the binding type of this book? A: The binding type is hardcover. This durable binding provides longevity and protection for the book's pages.
- Q: How many pages are in this book? A: There are four hundred and forty-eight pages in this book. This length allows for an in-depth exploration of Lie groups and Lie algebras.
- Q: What are the dimensions of this book? A: The dimensions are six point fourteen inches in length, nine point twenty-one inches in height, and zero point ninety-eight inches in width. These measurements make it a manageable size for reading and reference.
- Q: Who is the author of this book? A: The author is V.S. Varadarajan. He is an established scholar in the field of mathematics.
- Q: What is the primary subject of this book? A: The primary subject is Lie groups and Lie algebras. It covers both algebraic and analytic aspects in detail.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for aspiring graduate students and nonspecialist mathematicians. It introduces fundamental themes of the subject effectively.
- Q: Can this book help prepare for advanced topics? A: Yes, the book prepares readers for advanced topics in representation theory. It lays a solid foundation before tackling infinite-dimensional representations.
- Q: Is prior knowledge of mathematics required to understand this book? A: Yes, some background knowledge in mathematics is recommended. The book delves into complex theories that may be challenging without prior exposure.
- Q: How should I store this book to keep it in good condition? A: Store the book upright in a cool, dry place. Avoid exposure to direct sunlight to prevent fading and damage.
- Q: What is the recommended way to clean this book? A: To clean the book, use a soft, dry cloth to remove dust. Avoid using liquids that could damage the pages or binding.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller for return options. Most sellers provide a return policy for damaged items.
- Q: Does this book include exercises or problems? A: No, the book does not include exercises or problems. It focuses on theoretical concepts rather than practical applications.
- Q: Is this book appropriate for self-study? A: Yes, this book is appropriate for self-study. Its clear explanations can guide independent learners through complex topics.
- Q: What makes this book different from others on Lie groups? A: This book uniquely combines both algebraic and analytic aspects of Lie groups and their representations. It aims to fill a specific need in English-language resources.
- Q: Are there any references for further reading? A: Yes, the book mentions notable works by Chevalley, Jacobson, and Bourbaki. These can be consulted for deeper insights into the topics discussed.
- Q: Is this book part of a series? A: Yes, this book is part of the Graduate Texts in Mathematics series. It is volume one hundred and two in this established series.