For locally algebraic integral weights, the Bernstein-Zelevinsky dual of a locally analytic principal series representation equals another locally analytic principal series built from the dual Verma module and the smooth dual of the character.
On irreducible representations of compact p -adic analytic groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Bernstein-Zelevinsky duality for locally analytic principal series representations
For locally algebraic integral weights, the Bernstein-Zelevinsky dual of a locally analytic principal series representation equals another locally analytic principal series built from the dual Verma module and the smooth dual of the character.