3 papers
math.NT2026
Kohnen--Ueda local newforms
Hiroshi Ishimoto
We give a local newform theory for the metaplectic group of rank 1 over a non-archimedean local field of characteristic 0 with odd residual characteristic. It was suggested by some…
math.NT2024
Conductors and local newforms for the metaplectic group of rank 1
Hiroshi Ishimoto
In an earlier paper of W. Casselman, the theory of local newforms and conductors was initiated. Later, Roberts and Schmidt studied local newforms for the metaplectic group of rank…
math.NT2024
The endoscopic classification of representations of non-quasi-split odd special orthogonal groups
Hiroshi Ishimoto
In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split u…