Coxeter3

Jul 20, 2023

Library for the study of combinatorial aspects of Coxeter group theory

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



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