Manipulating Individual Alcoves in a Root System

asked 2023-01-18 17:59:07 +0200

hjitsukawa gravatar image

Hello there!

I've been working with Sage's built-in root lattice visualization and have run into a bit of a snag. Starting with the image below, I am trying to highlight specific alcoves based on their corresponding group elements (ie. a way to take an arbitrary alcove and change its color).

L = RootSystem(["A",2,1]).ambient_space()
p = L.plot(alcove_labels=True,roots=False,coroots=False,fundamental_weights=False, bounding_box=5)
p.show(figsize=18)

It seems like the data structure 'knows' which alcoves correspond to which group elements, but I'm having trouble figuring out how to manipulate this information.

Thanks!

edit retag flag offensive close merge delete

Comments

FrédéricC gravatar imageFrédéricC ( 2023-01-19 14:08:59 +0200 )edit