Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (3): 85-96.

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Realization of ${\bm B}_{\bm 2}$ type finite W-algebras

ZENG Yang, SHU Bin   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2011-03-01 Revised:2011-06-01 Online:2012-05-25 Published:2012-05-22

Abstract: In this paper we constructed an explicit set of generators for the finite W-algebras associated to all nilpotent orbits of $B_{2}$ type Lie algebras. We also computed the relations for these generators. The results give realization of $B_{2}$ type finite W-algebras.

Key words: $B_{2}$ type Lie algebras, non-linear Lie algebras, Kazhdan filtration, finite W-algebras

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