Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893291 | Journal of Geometry and Physics | 2014 | 13 Pages |
Abstract
We prove that the classical W-algebra associated to a nilpotent orbit in a simple Lie-algebra can be constructed by preforming bihamiltonian, Drinfeld-Sokolov or Dirac reductions. We conclude that the classical W-algebra depends only on the nilpotent orbit but not on the choice of a good grading or an isotropic subspace. In addition, using this result we prove again that the transverse Poisson structure to a nilpotent orbit is polynomial and we better clarify the relation between classical and finite W-algebras.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yassir Ibrahim Dinar,