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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Merits and demerits of the orbit method
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by A. A. Kirillov PDF
Bull. Amer. Math. Soc. 36 (1999), 433-488 Request permission


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.
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Additional Information
  • A. A. Kirillov
  • Affiliation: Department of Mathematics, The University of Pennsylvania, Philadelphia, PA 19104-6395; Institute for Problems of Information Transmission, Russian Academy of Sciences, B. Karetny 19, Moscow 101 477, GSP-4, Russia
  • Email:
  • Received by editor(s): October 19, 1998
  • Published electronically: August 19, 1999
  • Additional Notes: I wish to thank my students who taught me so much.
  • © Copyright 1999 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 36 (1999), 433-488
  • MSC (1991): Primary 22-XX, 20C35
  • DOI:
  • MathSciNet review: 1701415