Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series
Serdica Mathematical Journal, Tome 35 (2010) no. 2, pp. 99-120.

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By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.
Keywords: Classical Invariant Theory, Covariants, Binary Forms, Derivations, Poincaré Series
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     author = {Bedratyuk, Leonid},
     title = {Weitzenb\"ock {Derivations} and {Classical} {Invariant} {Theory:} {I.} {Poincar\'e} {Series}},
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Bedratyuk, Leonid. Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series. Serdica Mathematical Journal, Tome 35 (2010) no. 2, pp. 99-120. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_2_a0/