On symplectic periods and restriction to SL(2n)

Autor:	Omer Offen
Rok vydání:	2019
Předmět:	Pure mathematics Symplectic group General Mathematics 010102 general mathematics Special linear group Unipotent 01 natural sciences Linear form 0103 physical sciences 010307 mathematical physics 0101 mathematics Invariant (mathematics) Local field Mathematics Symplectic geometry
Zdroj:	Mathematische Zeitschrift. 294:1521-1552
ISSN:	1432-1823 0025-5874
DOI:	10.1007/s00209-019-02390-x
Popis:	We study representations of the general and the special linear groups over a non-archimedean local field that admit a non-zero invariant linear form with respect to the symplectic group (henceforth distinguished representations). For the class of ladder representations that are distinguished we show that applying the highest derivative operation twice results in a distinguished (ladder) representation. Furthermore, we characterize the unique distinguished component of the associated L-packet of representations of the special linear group in terms of the associated maximal unipotent orbit. We also obtain a sufficient condition for distinction of standard modules.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b46358b2d97d506bff3d96519e48bec4 https://doi.org/10.1007/s00209-019-02390-x Zobrazit plný text záznamu Full text from SpringerLink