# Inertia tensor for rotors

For vectors we can use Inertia tensor. But if I want to use bivectors (Rotors), what should I use for the inertia tensor? I want to make a 2d game and progressively to 4d.

• My response to a question here( physics.stackexchange.com/a/704043/99319 ) might help, but doesn't answer your question. What you need is an equation for $\dot{\widetilde{A}}$ which uses $\widetilde{L}$, $\widetilde{A}$, and the moment of inertia tensor's equivalent in the body frame. Apr 18, 2022 at 17:57
• Not really an answer, but Section 3.4 of Doran & Lasenby's Geometric Algebra for Physicists text covers this topic. Apr 18, 2022 at 22:27