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Overview"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." Full Product DetailsAuthor: A. A. KirillovPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: UK ed. Volume: No. 64 Dimensions: Width: 18.40cm , Height: 2.70cm , Length: 26.10cm Weight: 0.925kg ISBN: 9780821835302ISBN 10: 0821835300 Pages: 408 Publication Date: 30 July 2004 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsGeometry 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |