When you are the owner of one of the most valuable film franchises in history, you have to take steps to protect your intellectual property ("IP"). Lucasfilm certainly can't be faulted for that.
Lucasfilm has filed suit in federal court in California to enforce its rights against a school calling itself the Lightsaber Academy, which advertises that it teaches the "Art of Lightsaber Combat", and various instructor certifications for a fee. Thus, the Lightsaber Academy people look like they are engaging in a commercial activity while utilizing the words "Jedi" and "Lightsaber".
The Trademark Act provides that a successful plaintiff can be entitled to significant monetary damages, plus attorneys fees.
Lucas film demands a permanent injunction, actual damages and profits, or alternatively, up to $2 million in statutory damages for each trademark infringed.
You can read the entire complaint here.