Existence of Richardson elements in seaweed Lie algebras of type $\mathbb{B}$, $\mathbb{C}$ and $\mathbb{D}$
Journal of the London Mathematical Society(2016)
Abstract
The main result of this paper is the existence of Richardson elements for seaweed (biparabolic) Lie algebras of type $\mathbb{B, C}$ and $\mathbb{D}$. We develop non-trivial conditions on stabilisers that are sufficient for the existence of Richardson elements and then verify these conditions using quiver representation theory.
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Key words
seaweed lie algebras,lie algebras,richardson elements
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