${\bm B_{\bm 2}}$~型有限W-代数的实现

华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (3): 85-96.

${\bm B_{\bm 2}}$~型有限W-代数的实现

曾阳, 舒斌

华东师范大学~~数学系, 上海 200241

收稿日期:2011-03-01 修回日期:2011-06-01 出版日期:2012-05-25 发布日期:2012-05-22

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

ZENG Yang, SHU Bin

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

摘要/Abstract

摘要： 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.

关键词: $B_{2}$~型李代数, 非线性李代数, Kazhdan\,滤过, 有限W-代数

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

中图分类号:

O152.5

曾阳, 舒斌. ${\bm B_{\bm 2}}$~型有限W-代数的实现[J]. 华东师范大学学报(自然科学版), 2012, 2012(3): 85-96.

ZENG Yang, SHU Bin. Realization of ${\bm B}_{\bm 2}$ type finite W-algebras[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(3): 85-96.

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