2 citations · 2 across the 5 of their papers we have counts for
5 papers
A note about the Nowicki conjecture on Weitzenböck derivations
Leonid Bedratyuk
We reduce the Nowicki conjecture on the Weitzenböck derivation of polynomial algebras to well-known problem of the classical invariant theory.
A note on the Poincar'e series of the invariants of ternary forms
Leonid Bedratyuk
Analogue of Springer's formula for the Poincaré series of the algebra invariants of ternary form is found.
Symmetrical invariants of some modular Lie algebras of Cartan type
Leonid Bedratyuk
Let be one of the finite dimensional Lie algebras of Cartan type over an algebraically closed field of prime characteristic $p>0…
Analogue of Roberts theorem for ternary forms
Leonid Bedratyuk
Analogues of invariant theory's well-known Roberts theorem are proved for ternary forms. We established that covariants, contravariants and mixed concomitants of a ternary form are…
On complete system of covariants for the binary form of degree 7
Leonid Bedratyuk
A minimal system of 147 homogeneous generating elements of the algebra of covariants for the binary form of degree 7 is calculated.