Poincare series of the multigraded algebras of SL 2-invariants

• Datum: 2011
• Hauptverfasser: Bedratyuk, L. P., Бедратюк, Л. П.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2760
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 an...