Lectures on the Orbit Method (Graduate Studies in Mathematics, Vol. 64)

By A. A. Kirillov

Isaac Newton encrypted his discoveries in research within the type of an anagram that deciphers to the sentence, 'It is worth it to resolve differential equations'. for this reason, you'll exhibit the most concept in the back of the orbit process by means of asserting 'It is worth it to check coadjoint orbits'. The orbit process used to be brought via the writer, A. A. Kirillov, within the Nineteen Sixties and is still an invaluable and strong device in parts resembling Lie idea, staff representations, integrable structures, advanced and symplectic geometry, and mathematical physics. This ebook describes the essence of the orbit strategy for non-experts and provides the 1st systematic, precise, and self-contained exposition of the tactic. It starts off with a handy 'User's advisor' and comprises a variety of examples. it may be used as a textual content for a graduate direction, in addition to a guide for non-experts and a reference publication for examine mathematicians and mathematical physicists.

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