The local coefficients of a principal series representation of a metaplectic group G̃ are defined in terms of the action of the standard intertwining operator on a canonical basis of the space of Whittaker functionals. By analyzing the nonsingularity of local coefficient matrices, we prove that for a certain class of unramified principal series representations of the metaplectic group, the local metaplectic correspondence preserves irreducibility.
|Original language||English (US)|
|Number of pages||14|
|Journal||Journal of Lie Theory|
|State||Published - Jan 1 2017|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory