Theta correspondences for GSp(4)

Abstract

We explicitly determine the theta correspondences for $\GSp_4$ and orthogonal similitude groups associated to various quadratic spaces of rank $4$ and $6$. The results are needed in our proof of the local Langlands correspondence for $\GSp_4$.

Cited by in corpus (2)

• Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4)
• Algebraicity of critical values of adjoint $L$-functions for ${\mathrm{GSp}}_4$