LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS

DOI10.1017/nmj.2016.15zbMath1417.11074arXiv1405.4770OpenAlexW2410682728MaRDI QIDQ2828016

Masanori Muto, Hiro-aki Narita, Ameya Pitale

Publication date: 24 October 2016

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4770

zbMATH Keywords

Maass cusp formsliftingsCAP representations

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Nonvanishing square-integrable automorphic cohomology classes: the case \(\operatorname{GL}(2)\) over a central division algebra ⋮ An explicit lifting construction of CAP forms on O(1,5) ⋮ An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\) ⋮ Maass space for lifts to \(\mathrm{GL}(2)\) over a division quaternion algebra ⋮ Maass space for lifting from SL(2,ℝ) to GL(2,B) over a division quaternion algebra

Uses Software

• DLMF

Cites Work

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