Add to ORKGWe simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the `classical vacuum preserving algebra') containing the M\"obius $sl(2)$ subalgebra to any classical $\W$-algebra. Our construction is based on a kinematical analysis of the Poisson brackets of quasi-primary fields. In the case of the $\W_\S^\G$-algebra constructed through the Drinfeld-Sokolov reduction based on an arbitrary $sl(2)$ subalgebra $\S$ of a simple Lie algebra $\G$, we exhibit a natural isomorphism between this finite Lie algebra and $\G$ whereby the M\"obius $sl(2)$ is identified with $\S$
W-algebras are defined as polynomial extensions of the Virasoro algebra by primary fields, and they ...
The basic concepts underlying our analysis of {\it W-algebras} as extended symmetries of integrable ...
We summarize some recent results obtained in collaboration with J. McCarthy on the spectrum of physi...
We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a fin...
We clarify the notions of the DS-generalized Drinfeld-Sokolov-reduction approach to classical W-alge...
In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of ...
In a recent paper, the authors have shown that the secondary reduction of W-algebras provides a natu...
The Poisson bracket algebra corresponding to the {\it second} Hamiltonian structure of a large class...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
The structure of Hamiltonian symmetry reductions of the Wess-Zumino-Novikov-Witten (WZNW) theories b...
There is a relatively well understood class of deformable W-algebras, resulting from Drinfeld-Sokolo...
To classify the classical field theories with W-symmetry one has to classify the symplectic leaves o...
We prove that any classical affine W-algebra W (g,f), where g is a classical Lie algebra and f is an...
We recall the recently established (cf. [1] and [2]) connection between the renormalized higher powe...
A generalized Wakimoto realization of $\widehat{\cal G}_K$ can be associated with each parabolic sub...
W-algebras are defined as polynomial extensions of the Virasoro algebra by primary fields, and they ...
The basic concepts underlying our analysis of {\it W-algebras} as extended symmetries of integrable ...
We summarize some recent results obtained in collaboration with J. McCarthy on the spectrum of physi...
We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a fin...
We clarify the notions of the DS-generalized Drinfeld-Sokolov-reduction approach to classical W-alge...
In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of ...
In a recent paper, the authors have shown that the secondary reduction of W-algebras provides a natu...
The Poisson bracket algebra corresponding to the {\it second} Hamiltonian structure of a large class...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
The structure of Hamiltonian symmetry reductions of the Wess-Zumino-Novikov-Witten (WZNW) theories b...
There is a relatively well understood class of deformable W-algebras, resulting from Drinfeld-Sokolo...
To classify the classical field theories with W-symmetry one has to classify the symplectic leaves o...
We prove that any classical affine W-algebra W (g,f), where g is a classical Lie algebra and f is an...
We recall the recently established (cf. [1] and [2]) connection between the renormalized higher powe...
A generalized Wakimoto realization of $\widehat{\cal G}_K$ can be associated with each parabolic sub...
W-algebras are defined as polynomial extensions of the Virasoro algebra by primary fields, and they ...
The basic concepts underlying our analysis of {\it W-algebras} as extended symmetries of integrable ...
We summarize some recent results obtained in collaboration with J. McCarthy on the spectrum of physi...