> find "Group Theory In A Nutshell For Physicists Solutions Manual.pdf"

“It’s like combining two rotations in 10D space,” she said. “The result breaks into a singlet, an antisymmetric tensor, and a traceless symmetric part. Here’s the Young diagram.”

The official answer would be: "Closure, associativity, identity, inverse."

The first problem asked: "Show that the set of rotations in 3D forms a group."

It was… alive.