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Algebraic invariants for a set of matrices. (English. Russian original) Zbl 0273.15024

Sib. Math. J. 9, 115-124 (1968); translation from Sib. Mat. Zh. 9, 152-164 (1968).

MSC:

15A72 Vector and tensor algebra, theory of invariants
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
Full Text: DOI

References:

[1] I. Kaaplanskii, Functional Analysis, Matematika (Collection of Translations),3, No. 5, 91–115 (1959).
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[12] F. D. Murnaghan, On the Unitary Invariants of a Square Matrix. Anais da Academia Brasiliera de Ciencias,26, No. 1, 1–7 (1954). · Zbl 0056.25101
[13] D. P. Zhelobenko, On the Solution of a Problem in Polynomial Invariants. Usp. Mat. Nauk,18, No. 6. 193–196 (1963). · Zbl 0156.04603
[14] Z. Wesolowskii, Scalar Invariants of Orthogonal Transformations of Symmetric Matrices. Arch. Mech. Stosowanej,16, No. 4, 905–918 (1964). · Zbl 0158.28403
[15] Z. Wesolowskii, Joint Invariants of Two Symmetric Matirces of the Second and Third Order. Bull. Acad. Polon. Sc., Ser. Sci. Techn.,12, No. 2, 99–105. (1964).
[16] K. S. Sibirskii, Unitary and Orthogonal Invariants of Matirces. Dokl. Akad. Nauk SSSR,172, No. 1, 40–43 (1967).
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