科研之友
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摘要
In this paper, we show that there is always an open adjoint orbit in the nilpotent radical of a seaweed Lie algebra in gl(n)(k), thus answering positively in this gl(n)(k) case to a question raised independently by Michel Duflo and Dmitri Panyushev. The proof gives an explicit construction, using Delta-filtered modules of quasi-hereditary algebras arising from quotients of the double of quivers of type A. An example of a seaweed Lie algebra in a simple Lie algebra of type E(8) not admitting an open orbit in its nilpotent radical is given.
- 出版日期2009-2
