Khmelnytskyi National University

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20032025

most citedThermal and RGB Images Work Better Together in Wind Turbine Damage Detection

11 citations

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math.AG2011★ 3 cited

Multivariate Poincaré series for algebras of $S L_{2}$ -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 $n$ binary forms of deg…

math.AG2010

Bivariate Poincare series for the algebra of covariants of a binary form

Leonid Bedratyuk

A formula for computation of the bivariate Poincaré series $P_{d} (z, t)$ for the algebra of covariants of binary $d$ -form is found.

math.AG2005★ 1 cited

Casimir elements and kernel of Weitzenbök derivation

L. Bedratyuk

Let $k [X] := k [x_{0}, x_{1}, ..., x_{n}]$ be a polynomial algebra over a field $k$ of characteristic zero. We offer an algorithm for calculation of kernel of Weitzenbök derivation ${d(x_i…

Multivariate Poincaré series for algebras of SL2​-invariants

Bivariate Poincare series for the algebra of covariants of a binary form

Casimir elements and kernel of Weitzenbök derivation

Multivariate Poincaré series for algebras of $S L_{2}$ -invariants