Lie Groups, Lie Algebras, And Their Representation (Graduate Texts In Mathematics, Vol. 102) (Graduate Texts In Mathematics, 102

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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Frequently Asked Questions

  • Q: What topics are covered in 'Lie Groups, Lie Algebras, and Their Representation'? A: The book covers the theory of Lie groups, Lie algebras, and their representation theory, focusing on both algebraic and analytic aspects.
  • Q: What is the publication date of this book? A: The book was published on May 14, 1984.
  • Q: Who is the author of 'Lie Groups, Lie Algebras, and Their Representation'? A: The author of the book is V.S. Varadarajan.
  • Q: How many pages does this book contain? A: The book contains a total of 448 pages.
  • Q: What is the binding type of this book? A: This book is available in hardcover binding.
  • Q: Is this book suitable for beginners in mathematics? A: Yes, the book is designed to introduce aspiring graduate students and nonspecialist mathematicians to the fundamental themes of Lie groups and Lie algebras.
  • Q: Does the book discuss infinite-dimensional representations? A: No, the book does not cover infinite-dimensional representations, as it would require a more extensive treatment.
  • Q: What edition of the book is available? A: This is the first edition of 'Lie Groups, Lie Algebras, and Their Representation'.
  • Q: Are there any prerequisites for understanding the content of this book? A: A basic understanding of algebra and analysis is recommended to fully grasp the concepts presented in the book.
  • Q: Is this book a comprehensive resource for advanced studies in Lie theory? A: While it provides a detailed introduction, it is not intended as a comprehensive resource for advanced studies in infinite-dimensional representations.