# Welcome to brocoli’s documentation!¶

## BRoCoLi - LImit ROots of COxeter groups (eternal Beta version)¶

This is a package to experiment with limit roots and related objects of geometric representations of Coxeter groups.

With this package you can compute the following:

• Roots
• Weights
• Elements of the group (as matrices)
• Bilinear form and its signature

For Lorentzian Coxeter groups:

• Elliptic, Parabolic and Hyperbolic elements
• limit roots coming from parabolic and hyperbolic elements

You can also visualize:

• Affine positive cone
• Isotropic cone
• roots
• weights
• limit roots
• Tits cone

For rank 3 Coxeter groups, you can obtain tikzpicture of the above structures.