Lectures on the orbit method
Author(s)
Bibliographic Information
Lectures on the orbit method
（Graduate studies in mathematics, v. 64）
American Mathematical Society, c2004
Available at / 51 libraries
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Etchujima library, Tokyo University of Marine Science and Technology工流通情報システム
411.6/Ki53201450202
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.7223/K6342080004370
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Note
Includes bibliographical references (p. 395-402) and index
Description and Table of Contents
Description
Isaac Newton encrypted his discoveries in analysis in the form of an anagram that 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, 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.
Table of Contents
Geometry of coadjoint orbits Representations and orbits of the Heisenberg group The orbit method for nilpotent Lie groups Solvable Lie groups Compact Lie groups Miscellaneous Abstract nonsense Smooth manifolds Lie groups and homogeneous manifolds Elements of functional analysis Representation theory References Index.
by "Nielsen BookData"
