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CHEVIE — A system for computing and processing generic character tables

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Abstract

CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptual background of the various parts of CHEVIE and we show the usage of the system by means of explicit examples. More precisely, we have sections on Weyl groups and Iwahori-Hecke algebras, generic character tables of series of finite groups of Lie type, and cyclotomic algebras.

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Authors and Affiliations

  1. Lehrstuhl D für Mathematik, RWTH Aachen, D-52062, Aachen, Germany

    Meinolf Geck

  2. IWR der Universität Heidelberg, Im Neuenheimer Feld 368, D-69120, Heidelberg, Germany

    Gerhard Hiss, Frank Lübeck & Gunter Malle

  3. Department of Mathematics, University of St. Andrews, North Haugh, KY169SS, St. Andrews, Fife, Scotland

    Götz Pfeiffer

Authors
  1. Meinolf Geck
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  2. Gerhard Hiss
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  3. Frank Lübeck
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  4. Gunter Malle
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  5. Götz Pfeiffer
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Additional information

The authors Frank Lübeck and Götz Pfeiffer acknowledge financial support by the Deutsche Forschungsgemeinschaft.

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Geck, M., Hiss, G., Lübeck, F. et al. CHEVIE — A system for computing and processing generic character tables. AAECC 7, 175–210 (1996). https://doi.org/10.1007/BF01190329

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  • DOI: https://doi.org/10.1007/BF01190329

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