Coxeter groups

Applications for exploring Coxeter groups and their associated structures.

• Coxeter Group Explorer — inspect the root system, Cartan and Coxeter matrices, length distribution, conjugacy classes, parabolic and reflection subgroups, the word inspector, character tables, and the Hecke character table for any Coxeter group of classical or exceptional type.
• Bruhat Order — visualize the Bruhat order of any Coxeter group.
• Kazhdan–Lusztig Polynomials — compute Kazhdan–Lusztig polynomials, left/right/two-sided cells, and Duflo involutions for any Coxeter group.

📄️ Coxeter Group Explorer

Inspect the root system, matrices, length distribution, conjugacy classes, subgroups, and character tables for any Coxeter group

📄️ Kazhdan–Lusztig Polynomials

Compute Kazhdan–Lusztig polynomials, cells, and Duflo involutions for Coxeter groups

📄️ Bruhat Order

Visualize the Bruhat order of any Coxeter group