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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…
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.
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…