Discrete series representations of quaternionic GL(n,D) with symplectic periods

Matringe, Nadir, Sécherre, Vincent, Stevens, Shaun and Suzuki, Miyu (2026) Discrete series representations of quaternionic GL(n,D) with symplectic periods. Journal für die reine und angewandte Mathematik (Crelles Journal). ISSN 1435-5345 (In Press)

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Abstract

For a non-Archimedean locally compact field F of odd residue characteristic and characteristic 0, we prove a conjecture of D. Prasad predicting that, for an integer n>=1 and a non-split quaternionic F-algebra D, a discrete series representation of GL(n,D) has a symplectic period if and only if it is cuspidal and its Jacquet–Langlands transfer to GL(2n,F) is non-cuspidal.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	LivePure Connector
Date Deposited:	13 Aug 2026 11:27
Last Modified:	13 Aug 2026 11:27
URI:	https://ueaeprints.uea.ac.uk/id/eprint/104111
DOI:	issn:1435-5345

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