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eBook Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) ePub

eBook Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) ePub

by V.S. Varadarajan

  • ISBN: 0387909699
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: V.S. Varadarajan
  • Language: English
  • Publisher: Springer; 1st edition (May 14, 1984)
  • Pages: 434
  • ePub book: 1268 kb
  • Fb2 book: 1464 kb
  • Other: docx lrf azw doc
  • Rating: 4.7
  • Votes: 754

Description

Lie Groups, Lie Algebras,. has been added to your Cart. Representation Theory: A First Course (Graduate Texts in Mathematics).

Lie Groups, Lie Algebras,. Lie Algebras (Dover Books on Mathematics).

Abstract: These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the relationship between Lie groups and Lie algebras via the exponential mapping, the basics of representations theory, the orff formula, a detailed study of the representations of SU(3), and a brief survey of the representation theory of general semisimple groups.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level .

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. Lie Groups, Lie Algebras, and Representations - An Elementary Introduction, Brian C. Hall, (2015, 2nd e. ISBN 978-3-319-13466-6). Fourier Analysis and its Applications, Anders Vretblad, (2003

Compact Lie Groups (Graduate Texts in Mathematics). Lie Groups, Lie Algebras, and Their Representations. Lie Algebras and Lie Groups. Lie groups, lie algebras, and cohomology. Lectures on Lie groups and Lie algebras. Introduction to Lie groups and Lie algebras.

Part of the Graduate Texts in Mathematics book series (GTM, volume 102). Algebras Darstellung (Math. Authors and affiliations. Groups Lie Liesche Algebra Liesche Gruppe Representation theory algebra.

Please consider supporting us by disabling your ad blocker. Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102).

Graduate Texts in Mathematics.

Lie Groups, Lie Algebras and Their Representations. Readings in Mathematics. 123. Ebbinghaus et al. Numbers. Modern Geometry - Methods and Applications. Part III. 125. Berenstein/Gay.

The book also i Lie groups, Lie algebras, and representation theory are the main focus of this text. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory

The book also i Lie groups, Lie algebras, and representation theory are the main focus of this text. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.

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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 Bourbaki-which 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 infinite-dimensional 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.