Standard tableaux and Klyachko's theorem on Lie representations

نویسنده

  • Marianne Johnson
چکیده

We show that for all but two partitions λ of n > 6 there exists a standard tableau of shape λ with major index coprime to n. In conjunction with a deep result of Kraśkiewicz and Weyman this provides a new purely combinatorial proof of Klyachko’s famous theorem on Lie representations of the general linear group.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 114  شماره 

صفحات  -

تاریخ انتشار 2007