Finite W-algebras associated to truncated current Lie algebras
Finite W-algebras associated to truncated current Lie algebras
Finite W-algebras associated to truncated current Lie algebras are studied in this paper. We show that some properties of finite W-algebras in the semisimple case hold in the truncated current case. In particular, Kostant's theorem and Skryabin equivalence hold in our case. As an application, we give a classification of …