گروه‌های لی I / میکیو ایسه، ماسارو تاکئچی. گروه‌های لی II / ماسارو تاکئچی

The first part of this book, which is the second edition of the book of the same title, is intended to provide readers with a brief introduction to the theory of Lie groups as an aid to further study by presenting the fundamental features of Lie groups as a starting point for understanding Lie algebras and Lie theory in general. In the revisions for the second edition, proofs of some of the results were added. The second part of the book builds on some of the background developed in the first part, offering an introduction to the theory of symmetric spaces, a remarkable example of applications of Lie group theory to differential geometry. The book emphasizes this aspect by surveying the fundamentals of Riemannian manifolds and by giving detailed explanations of the way in which geometry and Lie group theory come together. Presents a wide range of problems connected with rational approximations of numbers and analytic functions; these problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Mikio Ise, Masaru Takeuchi. Lie Groups Ii / Masaru Takeuchi. Translation Of: Rī-gun. Includes Bibliographical References.