Becchi-Rouet-Stora-Tyutin operators for W algebras

The study of quantum Lie algebras motivates a use of noncanonical ghosts and antighosts for nonlinear algebras, such as W-algebras. This leads, for the W-3 and W-3((2)) algebras, to the Becchi-Rouet-Stora-Tyutin operator having the conventional cubic form. (C) 2008 American Institute of Physics.