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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Eigenvalues, invariant factors, highest weights, and Schubert calculus
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by William Fulton PDF
Bull. Amer. Math. Soc. 37 (2000), 209-249 Request permission


We describe recent work of Klyachko, Totaro, Knutson, and Tao that characterizes eigenvalues of sums of Hermitian matrices and decomposition of tensor products of representations of $GL_{n}(\mathbb {C})$. We explain related applications to invariant factors of products of matrices, intersections in Grassmann varieties, and singular values of sums and products of arbitrary matrices.
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Additional Information
  • William Fulton
  • Affiliation: University of Michigan, Ann Arbor, MI 48109-1109
  • Email:
  • Received by editor(s): July 19, 1999
  • Received by editor(s) in revised form: January 3, 2000
  • Published electronically: April 5, 2000
  • Additional Notes: The author was partly supported by NSF Grant #DMS9970435.
  • © Copyright 2000 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 37 (2000), 209-249
  • MSC (2000): Primary 15A42, 22E46, 14M15; Secondary 05E15, 13F10, 14C17, 15A18, 47B07
  • DOI:
  • MathSciNet review: 1754641