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 unravel differential equations'. consequently, you possibly can exhibit the most concept in the back of the orbit approach via asserting 'It is worth it to review coadjoint orbits'. The orbit procedure used to be brought by way of the writer, A. A. Kirillov, within the Nineteen Sixties and continues to be an invaluable and robust instrument in parts resembling Lie concept, staff representations, integrable platforms, advanced and symplectic geometry, and mathematical physics. This publication describes the essence of the orbit technique for non-experts and provides the 1st systematic, special, and self-contained exposition of the strategy. It starts off with a handy 'User's advisor' and includes a number of examples. it may be used as a textual content for a graduate direction, in addition to a instruction manual for non-experts and a reference publication for examine mathematicians and mathematical physicists.

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