The optimal standard local converse theorem for Sp_{2N}, SO_{2N}, SO_{2N+1}, and G2 requires twisting up to roughly half the dual group's standard representation dimension, except for an improved SO_{2N} bound for odd N.
On the sharpness of the bound for the local converse theorem of p -adic GL_ prime
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
On sharpness in Local Converse Theorems for classical groups and $G_2$
The optimal standard local converse theorem for Sp_{2N}, SO_{2N}, SO_{2N+1}, and G2 requires twisting up to roughly half the dual group's standard representation dimension, except for an improved SO_{2N} bound for odd N.