Browsing by Author "Geck, Meinolf"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    ItemOpen Access
    The character table of the finite Chevalley group F4(q) for q a power of 2
    (2023) Geck, Meinolf
    Let q be a prime power and F4(q)be the Chevalley group of type F4over a finite field with q elements. Marcelo and Shinoda (Tokyo J Math 18:303-340, 1995) determined the values of the unipotent characters of F4(q)on all unipotent elements, extending earlier work by Kawanaka and Lusztig to small characteristics. Assuming that q is a power of 2, we explain how to construct the complete character table of  F4(q).
  • Thumbnail Image
    ItemOpen Access
    On the labelling of characters of Weyl groups of type F4
    (2024) Geck, Meinolf; Hetz, Jonas
    In the literature on finite groups of Lie type, there exist two different conventions about the labelling of the irreducible characters of Weyl groups of type  F4. We point out some issues concerning these two conventions and their effect on tables about unipotent characters or the Springer correspondence. Using experiments related to these issues with the computer algebra system CHEVIE , we spotted an error in Spaltenstein’s tables for the generalised Springer correspondence in type  E7.