References
Eddington, A. S.: On sets of anticommuting matrices. J. London Math. Soc.7, 58–68 (1932).
Gerstenhaber, M.: On dominance and varieties of commuting matrices. Ann. of Math.73, 324–348 (1961).
—: Dominance over the classical groups. Ann. of Math.74, 532–569 (1961).
McCoy, N. H.: On quasi-commutative matrices. Trans. Amer. Math. Soc.36, 327–340 (1934).
Newman, M. H. A.: Note on an algebraic theorem of Eddington. J. London Math. Soc.7, 93–99 (1932).
Potter, H. S. A.: On the latent roots of quasi-commutative matrices. Amer. Math. Monthly57, 321–322 (1950).
Roth, W. E.: Onk-commutative matrices. Trans. Amer. Math. Soc.39, 483–495 (1936).
Weil, A.: Foundations of Algebraic Geometry (Revised and enlarged edition). Amer. Math. Soc., Providence, 1962.
Williamson, J.: Sets of semi-commuting matrices, I. Proc. Edinburgh Math. Soc. (Series 2)3, 174–188 (1932/33). II. Proc. Edinburgh Math. Soc. (Series 2)3, 231–240 (1932/33).
Author information
Authors and Affiliations
Additional information
The author gratefully wishes to acknowledge the support of the National Science Foundation under contract G-24412.
Rights and permissions
About this article
Cite this article
Gerstenhaber, M. On semicommuting matrices. Math Z 83, 250–260 (1964). https://doi.org/10.1007/BF01111202
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01111202