The reverse operator orbits on $\Delta(1)$ and a conjecture of Panyushev

Chao-Ping Dong

arxiv: 1511.00496 · v2 · pith:BNNX253Nnew · submitted 2015-11-02 · 🧮 math.RT

The reverse operator orbits on Delta(1) and a conjecture of Panyushev

Chao-Ping Dong This is my paper

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keywords conjecturepanyushevalgebrasantichainsassociateddeltaemphgradings

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We verify conjecture 5.11 of Panyushev [\emph{Antichains in weight posets associated with gradings of simple Lie algebras}, Math Z 281(3):1191--1214, 2015].

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The reverse operator orbits on Delta(1) and a conjecture of Panyushev

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