#### Alladi Ramakrishnan Hall

#### Spinoriality of Representations of Lie Groups

#### Steven Spallone

##### IISER Pune

*Let $G$ be a connected semisimple complex Lie group and $\pi: G*

\to SO(V)$ an orthogonal representation with highest weight $\lambda$. We

give a polynomial formula in $\lambda$ which determines whether $\pi$ lifts

to a homomorphism $\tilde{\pi}: G \to Spin(V)$.

This is joint work with Rohit Joshi.

Done