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arXiv · 1108.1555

Multivariate Poincaré series for algebras of $SL_2$-invariants

Leonid Bedratyuk
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Abstract

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

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Leonid Bedratyuk. 2011-08-07. Multivariate Poincaré series for algebras of $SL_2$-invariants. https://doi.org/10.1007/s11253-011-0550-8

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