Перейти до основного вмісту
Roberts theorem for ternary forms
Bedratyuk Leonid Petrovich 1
1 Department of software engineering, Khmelnytskyi National University, Khmelnytskyi, 29018, Ukraine
Keywords: Roberts theorem, ternary forms
Abstract

Analogues of the invariant theory's well-known Roberts theorem are proved for ternary forms. We established that invariants, contravariants and mixed concomitants of a ternary form are uniquely determined by their lead coefficients.

References

[1] Grace J.H., Young A. The Algebra of Invariants. - London, 1903.

[2] Gordan P. Ueber die Theorie der ternären cubischen Formen // Math.Ann.I. - 1869. - 1. - P.57-89.

[3] Noether E. Über die Bildung des Formensystems der ternären biquadratischen Form // J. für Math. - 1908. - 134. - P.23-90.

[4] Glenn O. E. Oreatise on theory of invariants. - Boston,1915.

[5] Springer T . Invariant theory. - M.: Mir, 1981. - 192 p.

[6] Fulton W., Harris J. Reptesemation theory: a first course, 1991.

[7] Humphreys J. Introduction to Lie Algebras and Representation Theory,1978.

Cite
ACS Style
Bedratyuk, L.P. Roberts theorem for ternary forms. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Bedratyuk LP. Roberts theorem for ternary forms. Bukovinian Mathematical Journal. 2018; 1(349).
Chicago/Turabian Style
Leonid Petrovich Bedratyuk. 2018. "Roberts theorem for ternary forms". Bukovinian Mathematical Journal. 1 no. 349.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings