Contragredients and a multiplicity one theorem for general Spin groups

Melissa Emory, Shuichiro Takeda

Each orthogonal group $\OO(n)$ has a nontrivial $\GL(1)$-extension, which we call $\GPin(n)$. The identity component of $\GPin(n)$ is the more familiar $\GSpin(n)$, the general Spi…