2018
Том 70
№ 9

# Analog of the Cayley–Sylvester formula and the Poincaré series for an algebra of invariants of ternary form

Bedratyuk L. P.

Abstract

An explicit formula is obtained for the number $ν_d(n)$ of linearly independent homogeneous invariants of degree $n$ of a ternary form of order $d$. A formula for the Poincaré series of the algebra of invariants of the ternary form is also deduced.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1810-1821.

Citation Example: Bedratyuk L. P. Analog of the Cayley–Sylvester formula and the Poincaré series for an algebra of invariants of ternary form // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1561–1570.

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