B_2型有限W-代数的实现

Realization of B_2 type finite W-algebras

具体构造了B_2型李代数在所有幂零轨道下对应的有限W-代数的生成元集,并通过计算得出了生成元之间的关系式,从而给出了B_2型有限W-代数的具体实现.

In this paper we constructed an explicit set of generators for the finite W-algebras associated to all nilpotent orbits of B2 type Lie algebras. We also computed the relations for these generators. The results give realization of B2 type finite W-algebras.