Representations of the p-adic Gspin₄ and GSpin₆ and the adjoint L-function
Abstract
We prove a conjecture of B. Gross and D. Prasad about determination of generic L-packets in terms of the analytic properties of the adjoint L-function for p-adic general even spin groups of semi-simple ranks 2 and 3. We also explicitly write the adjoint L-function for each L-packet in terms of the local Langlands L-functions for the general linear groups.
Citation
Asgari, M., Choiy, K. (2023). Representations of the p-adic Gspin₄ and GSpin₆ and the adjoint L-function. https://doi.org/10.48550/arXiv.2301.05348