CHEVIE

CHEVIE is a computer algebra project for symbolic calculations with generic character tables of groups of Lie type, Coxeter groups, Iwahori-Hecke algebras and other related structures. It is based on the computer algebra systems GAP, and MAPLE.

Citation:

@article {MR99m:20017,
    AUTHOR = {Geck, Meinolf and Hiss, Gerhard and L{\"u}beck, Frank and
              Malle, Gunter and Pfeiffer, G{\"o}tz},
     TITLE = {C{HEVIE}---a system for computing and processing generic
              character tables},
      NOTE = {Computational methods in Lie theory (Essen, 1994)},
   JOURNAL = {Appl. Algebra Engrg. Comm. Comput.},
  FJOURNAL = {Applicable Algebra in Engineering, Communication and Computing},
    VOLUME = {7},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {175--210}
}