Local Whittaker-Newforms for GSp(4) matching to Langlands parameters

Abstract

We extend the local newform theory of B. Roberts and R. Schmidt for generic, irreducible, admissible representations of PGSp(4) to that for GSp(4). The newform matches to the Langlands parameter.

Cited by in corpus (3)

• On the Bloch--Kato conjecture for GSp(4) x GL(2)
• Algebraicity of critical values of adjoint $L$-functions for ${\mathrm{GSp}}_4$
• Newforms of Saito-Kurokawa lifts