${\bm B_{\bm 2}}$~型有限W-代数的实现

曾阳; 舒斌

${\bm B_{\bm 2}}$~型有限W-代数的实现

曾阳,
舒斌

1.
华东师范大学~~数学系, 上海 200241

详细信息

中图分类号: O152.5
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- 被引次数: 0
出版历程
- 收稿日期: 2011-03-01
- 修回日期: 2011-06-01
- 刊出日期: 2012-05-25

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

摘要

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.
- $B_{2}$~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.
- $B_{2}$ type Lie algebras /
- non-linear Lie algebras /
- Kazhdan filtration /
- finite W-algebras

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参考文献(1)

[1]

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