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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.
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.
Note: this port is specially crafted to be used with SageMath, with patches from
Sage.
See also: https://github.com/tscrim/coxeter