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Weights for compact connected Lie groups

  • Radha Kessar,
  • Gunter Malle,
  • Jason Semeraro

摘要

Let \(\ell \) be a prime. If \(\textbf{G}\) G is a compact connected Lie group, or a connected reductive algebraic group in characteristic different from \(\ell \) , and \(\ell \) is a good prime for \(\textbf{G}\) G , we show that the number of weights of the \(\ell \) -fusion system of \(\textbf{G}\) G is equal to the number of irreducible characters of its Weyl group. The proof relies on the classification of \(\ell \) -stubborn subgroups in compact Lie groups.