2018
Том 70
№ 12

Poincare series of the multigraded algebras of SL 2-invariants

Bedratyuk L. P.

Abstract

Formulas for computation of the multivariate Poincare series $\mathcal{P}(\mathcal{C}_{d}, z_1, z_2,..., z_n,t)$ and $\mathcal{P}(\mathcal{I}_{d}, z_1, z_2,..., z_n)$, are found, where $\mathcal{C}_{d}, \mathcal{I}_{d}, \;\; {d} = (d_1, d_2,..., d_n)$ are multigraded algebras of joint covariants and joint invariants for n binary forms of degrees $d_1, d_2,..., d_n$.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 880-890.

Citation Example: Bedratyuk L. P. Poincare series of the multigraded algebras of SL 2-invariants // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 755-763.

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