Nilpotent pieces in the dual of odd orthogonal lie algebras

作者：Xue Ting^*

来源：Transformation Groups, 2012, 17(2): 571-592.

DOI：10.1007/s00031-012-9172-y

Let be the variety of nilpotent elements in the dual of the Lie algebra of a reductive algebraic group over an algebraically closed field. In [L4] Lusztig proposes a definition of a partition of into smooth locally closed subvarieties (which are indexed by the unipotent classes in the corresponding group over complex numbers) and gives explicit results in types A, C and D. We discuss type B in this note.

• 出版日期2012-6
• 单位西北大学