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On the $μ$-admissible set in the extended affine Weyl groups of $E_6$ and $E_7$

arXiv:1411.5427 · doi:10.1016/j.jalgebra.2015.11.047

Abstract

Giving explicit examples we show that the $μ$-admissible set and the $μ$-permissible set do not agree for non-trivial minuscule coweights in the cases of $E_6$ and $E_7$.

11 pages