This survey is the expanded version of my talk at the AMS meeting in April 1997. I explain to non-experts how to use the orbit method, discuss its strong and weak points and advertise some open problems.
CITATION STYLE
Kirillov, A. A. (1999). Merits and demerits of the orbit method. Bulletin of the American Mathematical Society, 36(4), 433–488. https://doi.org/10.1090/s0273-0979-99-00849-6
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