Lectures on the Orbit Method (Graduate Studies in Mathematics Series)

Lectures on the Orbit Method (Graduate Studies in Mathematics Series)

by A. A. Kirillov
ISBN-10:
0821835300
ISBN-13:
9780821835302
Pub. Date:
09/10/2004
Publisher:
American Mathematical Society

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Overview

Lectures on the Orbit Method (Graduate Studies in Mathematics Series)

Isaac Newton encrypted his discoveries in analysis in the form of an anagram, which deciphers to the sentence ''It is worthwhile to solve differential equations''. Accordingly, one can express the main idea behind the Orbit Method by saying It is worthwhile to study coadjoint orbits". The orbit method was introduced by the author

Product Details

ISBN-13: 9780821835302
Publisher: American Mathematical Society
Publication date: 09/10/2004
Series: Graduate Studies in Mathematics Series , #64
Edition description: New Edition
Pages: 432
Product dimensions: 7.20(w) x 10.20(h) x 1.10(d)

Table of Contents

The orbit method was introduced by the author, A. A. Kirillov, in the 1960s and remains a useful and powerful tool in areas such as Lie theory, group representations, integrable systems, complex and symplectic geometry, and mathematical physics. This book describes the essence of the orbit method for non-experts and gives the first systematic, detailed, and self-contained exposition of the method. It starts with a convenient "User's Guide" and contains numerous examples. It can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.

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