13 citations · 59 across the 37 of their papers we have counts for
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Multivariate Poincaré series for algebras of -invariants
Leonid Bedratyuk
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 binary forms of deg…
A note about invariants of algebraic curves
Leonid Bedratyuk
For affine algebraic plane curves we reduce a calculation of its invariants to calculation of the intersection of kernels of some derivations.
Hilbert polynomials of the algebras of -invariants
Leonid Bedratyuk
We offer a Maple-procedure for computing of the Hilbert polynomials of the algebras of -invariants
Minimal free resolutions and Betti diagrams of the algebras of -invariants
Leonid Bedratyuk
For the algebras of -invariants of small homological dimension theirs minimal free graded resolutions and graded Betti diagrams calculated.
The MAPLE package for -invariants and kernel of Weitzenböck derivations
Leonid Bedratyuk
We offer a Maple package SL\_2\_Inv\_Ker for calculating of minimal generating sets for the algebras of joint invariants/semi-invariants of binary forms and for calculations of the…
MacMahon Partition Analysis and the Poincaré series of the algebras of invariants of ternary, quaternary and quinary forms
Leonid Bedratyuk, Guoce Xin
By using MacMahon partition analysis technique, the Poincaré series for the algebras of invariants of the ternary, quaternary and quinary forms of small orders are calculated.