@article {2012,
	title = {Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian  systems within the theory of Poisson vertex algebras},
	journal = {Communications in Mathematical Physics 323, nr. 2 (2013) 663-711},
	number = {arXiv:1207.6286;},
	year = {2013},
	note = {43 pages. Second version with minor editing and corrections},
	publisher = {Springer},
	abstract = {We provide a description of the Drinfeld-Sokolov Hamiltonian reduction for
the construction of classical W-algebras within the framework of Poisson vertex algebras. In this context, the gauge group action on the phase space is translated in terms of (the exponential of) a Lie conformal algebra action on the space of functions. Following the ideas of Drinfeld and Sokolov, we then establish under certain sufficient conditions the applicability of the Lenard-Magri scheme of integrability and the existence of the corresponding integrable hierarchy of bi-Hamiltonian equations.},
	doi = {10.1007/s00220-013-1785-z},
	url = {http://hdl.handle.net/1963/6978},
	author = {Alberto De Sole and Victor G. Kac and Daniele Valeri}
}
