We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps using automorphic L-functions. This leads to an introduction of a global invariant of an automorphic representation arising from two such periods. We compute this invariant in some cases.
Bibliographical noteFunding Information:
The research was partially supported by the ERC FP7 grant 291612 , by the ISF grant 533/14 , and, during the visit to IAS, by the National Science Foundation under Grant No. DMS - 1638352 .
© 2022 Elsevier Inc.
- Automorphic representations