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The breadth of Lie poset algebras
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math.RA
keywords
breadthalgebrasdefinedalgebracombinatorialdimensionfamiliesfamily
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abstract
The breadth of a Lie algebra $L$ is defined to be the maximal dimension of the image of $ad_x=[x,-]:L\to L$, for $x\in L$. Here, we initiate an investigation into the breadth of three families of Lie algebras defined by posets and provide combinatorial breadth formulas for members of each family.
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