PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras

  title={PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras},
  author={Meinolf Geck},
  journal={Lms Journal of Computation and Mathematics},
  • M. Geck
  • Published 2012
  • Mathematics
  • Lms Journal of Computation and Mathematics
We introduce the computer algebra package PyCox, written entirely in the Python language. It implements a set of algorithms, in a spirit similar to the older CHEVIE system, for working with Coxeter groups and Hecke algebras. This includes a new variation of the traditional algorithm for computing Kazhdan–Lusztig cells and W -graphs, which works efficiently for all finite groups of rank ≤8 (except E 8 ). We also discuss the computation of Lusztig’s leading coefficients of character values and… Expand

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