For principal and mediate series of p-adic G2, the Aubert-Zelevinsky duality matches the Kato involution on affine Hecke algebra modules, confirming several cases of the Bernstein unitarity conjecture.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Aubert-Zelevinsky involution for $G_2$ and its associated Hecke algebras
For principal and mediate series of p-adic G2, the Aubert-Zelevinsky duality matches the Kato involution on affine Hecke algebra modules, confirming several cases of the Bernstein unitarity conjecture.