Abstract
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called (k, c) models, for local components of generalized Speh representations. We construct a family of (k, c) representations, in a purely local setting, and discuss their realizations using inductive formulas. Our main result is a uniqueness theorem which is essential for the proof that the generalized doubling integral is Eulerian.
| Original language | English |
|---|---|
| Pages (from-to) | 2831-2845 |
| Number of pages | 15 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 151 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1 Jul 2023 |
Bibliographical note
Publisher Copyright:© 2023 American Mathematical Society.
Funding
This research was supported by the ERC, StG grant number 637912 (Cai), by the JSPS KAK-ENHI grant number 19F19019 (Cai), by MEXT Leading Initiative for Excellent Young Researchers Grant Number JPMXS0320200394 (Cai), by the BSF, grant number 2012019 (Friedberg), by the NSF, grant numbers 1500977, 1801497 and 2100206 (Friedberg), by the ERC, StG grant number 637912 (Gourevitch), and by the Israel Science Foundation, grant numbers 376/21 and 421/17 (Kaplan).
| Funders | Funder number |
|---|---|
| National Science Foundation | 1801497, 1500977, 2100206 |
| European Commission | 637912 |
| Japan Society for the Promotion of Science | 19F19019 |
| Ministry of Education, Culture, Sports, Science and Technology | JPMXS0320200394 |
| United States-Israel Binational Science Foundation | 2012019 |
| Israel Science Foundation | 421/17, 376/21 |
Keywords
- Doubling method
- Shalika model
- Speh representations
- Whittaker models