L. Bedratyuk

By using classical invariant theory approach a formulas for computation of the Poincare series of the kernel of linear locally nilpotent derivations is found.

math.AG2009

The Poincaré series of the joint invariants and covariants of the two binary forms

Leonid Bedratyuk

Let $I_{d_{1}, d_{2}}$ and $C_{d_{1}, d_{2}}$ be the algebras of joint invariants and joint covariants of the two binary forms of degrees $d_{1}$ and $d_{2} .$ Formulas for co…

math.AG2009★ 3 cited

The Poincaré series of the covariants of binary forms

Leonid Bedratyuk

A formula for computation of the Poincaré series $P_{d} (z)$ of the algebra of the covariants of binary $d$ -form is found. By using it, we have computed the $P_{d} (z)$ for $d \leq 20.$

The Poincare series for the algebra of invariants of n-ary form

Covariants of binary forms and new identities for Bernoulli, Euler and Hermite polynomials

A note about the Nowicki conjecture on Weitzenböck derivations

Linear locally nilpotent derivations and the classical invariant theory, I: The Poincare series

The Poincaré series of the joint invariants and covariants of the two binary forms

The Poincaré series of the covariants of binary forms

The Poincare series for the algebra of invariants of $n$ -ary form