On the Matrical Equation φΩ = Ωφ

Taber, Henry

doi:10.2307/20013476

Cited by 4 publications

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“…See also 7, 18, 99, 113,114,115, 124,135, 139,210,221,273,302,307,320,371,400,414,466,476. 6.04 See Dickson (392 (98,112), and Hilton (314, chap. 5); also 83,86,98, 137, 184, 197, 209, 223, 242, 250, 264,301, 382.…”

Section: Appendix Imentioning

confidence: 99%

Lectures on Matrices

Wedderburn¹

1934

Colloquium Publications

224

107

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This book contains lectures on matrices given a t Princeton University a t various times since 1920. I t was my intention to include full notes on the history of the subject, but this has proved impossible owing to circumstances beyond my control, and I have had to content myself with very brief notes (see Appendix I). A bibliography is given in Appendix 11. In compiling it, especially for the period of the last twenty-five years, there was considerable difficulty in deciding whether to include certain papers which, if they had occurred earlier, would probably have found a place there. In the main, I have not included articles which do not use matrices as an algebraic calculus, or whose interest lies in some other part of mathematics. rather than in the theory of matrices; but consistency in this has probably not been attained. Since these lectures have been prepared over a somewhat lengthy period of time, they owe much to the criticism of many friends. In particular, Professor A. A. Albert and Dr. J. L. Dorroh read most of the MS making many suggestions, and the former gave material help in the preparation of the later sections of Chapter X.

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Section: Appendix Imentioning

confidence: 99%

Lectures on Matrices

Wedderburn¹

1934

Colloquium Publications

224

107

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Matric equations

Duffee¹

1933

The Theory of Matrices

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XLVIII.—On Commuting Matrices and Commutative Algebras

Rutherford

1949

Proc. Sect. A, Math. phys. sci.

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The structure of commutative associative linear algebras is well known and is usually derived from more general results concerning non-commutative algebras (Cartan, Frobenius). The novelty of the present treatment is that while it avoids the complexities of the non-commutative case, it exhibits the essential relationship between the theory of commuting matrices and that of commutative algebras.While theorems 1 and 2 of this paper are implicit in the writings of Voss (1889), Taber (1890), and Plemelj (1901), it has been considered worth while to recapitulate these results in the explicit form required for the discussion of commutative algebras. In doing so, some new facts emerge.

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On the Matrical Equation φΩ = Ωφ

Cited by 4 publications

References 0 publications

Lectures on Matrices

Lectures on Matrices

Matric equations

XLVIII.—On Commuting Matrices and Commutative Algebras

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