Coxeter is a computer program for the study of combinatorial aspects of Coxeter group theory, particularly those related to the Bruhat ordering and Kazhdan-Lusztig polynomials. It is written in C++, and should run on the main types of workstation under linux or unix. The current version is now version 3.0, which is now available for beta testing. The main capabilities of the program are the following : Reduced expression and normal form computations; Bruhat ordering; Ordinary Kazhdan-Lusztig polynomials; Kazhdan-Lusztig polynomials with unequal parameters; Inverse Kazhdan-Lusztig polynomials; Cells and W-graphs.

References in zbMATH (referenced in 19 articles )

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  1. Del Zotto, Michele; Lockhart, Guglielmo: Universal features of BPS strings in six-dimensional SCFTs (2018)
  2. Geck, Meinolf; Halls, Abbie: On the Kazhdan-Lusztig cells in type (E_8). (2015)
  3. Bonnafé, Cédric; Geck, Meinolf: Conjugacy classes of involutions and Kazhdan-Lusztig cells. (2014)
  4. Marberg, Eric: Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case. (2014)
  5. Marberg, Eric: Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the finite case. (2014)
  6. Geck, Meinolf: On the Kazhdan-Lusztig order on cells and families. (2012)
  7. Geck, Meinolf: PyCox: Computing with (finite) Coxeter groups and Iwahori-Hecke algebras (2012) arXiv
  8. Williamson, Geordie; Braden, Tom: Modular intersection cohomology complexes on flag varieties (2012)
  9. Geck, Meinolf: On Iwahori-Hecke algebras with unequal parameters and Lusztig’s isomorphism theorem. (2011)
  10. Geck, Meinolf: Some applications of CHEVIE to the theory of algebraic groups. (2011)
  11. Guilhot, Jérémie: Kazhdan-Lusztig cells in affine Weyl groups of rank 2. (2010)
  12. Pietraho, Thomas: Module structure of cells in unequal-parameter Hecke algebras. (2010)
  13. Geck, Meinolf: Leading coefficients and cellular bases of Hecke algebras. (2009)
  14. Geck, Meinolf: Hecke algebras of finite type are cellular. (2007)
  15. du Cloux, Fokko: Positivity results for the Hecke algebras of noncrystallographic finite Coxeter groups. (2006)
  16. Geck, Meinolf: Computing Kazhdan-Lusztig cells for unequal parameters. (2004)
  17. du Cloux, Fokko: Rigidity of Schubert closures and invariance of Kazhdan-Lusztig polynomials. (2003)
  18. du Cloux, Fokko: Computing Kazhdan-Lusztig polynomials for arbitrary Coxeter groups. (2002)
  19. Geck, Meinolf; Hiss, Gerhard; Lübeck, Frank; Malle, Gunter; Pfeiffer, Götz: CHEVIE -- A system for computing and processing generic character tables (1996)