Why do we care about spin groups?

[Apogee]

Hey, guys! I was recently reading (attempting) about spin groups. I heard a little bit about SO(3), but still don't know much. I was wondering if someone could explain what a spin group is and why it is useful? Is there some way to visualize spin groups? Please note: I know literally nothing about spin groups, so don't assume anything haha.

 

[WWGD]

Hey, guys! I was recently reading (attempting) about spin groups. I heard a little bit about SO(3), but still don't know much. I was wondering if someone could explain what a spin group is and why it is useful? Is there some way to visualize spin groups? Please note: I know literally nothing about spin groups, so don't assume anything haha.

Why don't you read the basics, e.g., Wikipedia and ask specific questions? It is likely to be more productive that way.