Matrix applications of a quadratic identity for decomposable symmetrized tensors

Marcus, Marvin

doi:10.1090/S0002-9904-1965-11295-2

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 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Matrix applications of a quadratic identity for decomposable symmetrized tensors
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Bull. Amer. Math. Soc. 71 (1965), 360-364

References

Claude Chevalley, The construction and study of certain important algebras, Mathematical Society of Japan, Tokyo, 1955. MR 0072867
C. D. Olds, Ky Fan, M. S. Klamkin, and Victor Thebault, Advanced Problems and Solutions: Problems for Solution: 4428-4432, Amer. Math. Monthly 58 (1951), no. 3, 194–195. MR 1527810, DOI 10.2307/2306600
W. V. D. Hodge and D. Pedoe, Methods of Algebraic Geometry. Vol. I, Cambridge, at the University Press; New York, The Macmillan Company, 1947. MR 0028055
Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
Marvin Marcus and Henryk Minc, Generalized matrix functions, Trans. Amer. Math. Soc. 116 (1965), 316–329. MR 194445, DOI 10.1090/S0002-9947-1965-0194445-9
I. Schur, Über endliche Gruppen und Hermitesche Formen, Math. Z. 1 (1918), no. 2-3, 184–207 (German). MR 1544291, DOI 10.1007/BF01203611

Additional Information

Journal: Bull. Amer. Math. Soc. 71 (1965), 360-364
DOI: https://doi.org/10.1090/S0002-9904-1965-11295-2
MathSciNet review: 0175924