Richardson elements for classical Lie algebras
作者： Karin Baur
DOI: 10.1016/J.JALGEBRA.2005.03.033
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摘要: Parabolic subalgebras of semi-simple Lie algebras decompose as p = m circle plus n where is a Levi factor and the corresponding nilradical. By Richardson's theorem [R.W Richardson, Bull. London Math. Soc. 6 (1974) 21-24], there exists an open orbit under action adjoint group P on The elements this dense orbits are known Richardson elements. In paper we describe normal form for in classical case. This generalizes construction gl(N) Briistle et al. [Algebr. Represent. Theory 2 (1999) 295-312] to other algebra it extends authors forms nice parabolic simple arbitrary [K. Baur, 9 (2005) 30-45]. As applications obtain description support recover Bala-Carter label (c) 2005 Elsevier Inc. All rights reserved.
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