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arxiv: 1411.5427 · v3 · pith:7TP7KXYMnew · submitted 2014-11-20 · 🧮 math.RT · math.AG· math.CO

On the μ-admissible set in the extended affine Weyl groups of E₆ and E₇

classification 🧮 math.RT math.AGmath.CO
keywords admissibleaffineagreecasescoweightsexamplesexplicitextended
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Giving explicit examples we show that the $\mu$-admissible set and the $\mu$-permissible set do not agree for non-trivial minuscule coweights in the cases of $E_6$ and $E_7$.

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