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Currently displaying 1 – 4 of 4

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Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials

Leonid Bedratyuk — 2012

Acta Arithmetica

Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method

Bedratyuk, Leonid — 2011

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 13N15, 13A50, 13F20. An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is developed.

A Note About the Nowicki Conjecture on Weitzenböck Derivations

Bedratyuk, Leonid — 2009

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 13N15, 13A50, 16W25. We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant theory.

Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series

Bedratyuk, Leonid — 2010

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 13N15, 13A50, 16W25. By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.

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