Standard tableaux and Klyachko's theorem on Lie representations

    Research output: Contribution to journalArticlepeer-review


    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. © 2006 Elsevier Inc. All rights reserved.
    Original languageEnglish
    Pages (from-to)151-158
    Number of pages7
    JournalJournal of Combinatorial Theory. Series A
    Issue number1
    Publication statusPublished - Jan 2007


    • Free Lie algebra
    • Lie representation
    • Standard tableau


    Dive into the research topics of 'Standard tableaux and Klyachko's theorem on Lie representations'. Together they form a unique fingerprint.

    Cite this