On the cubic Shimura lift for \(PGL_3\)

DOI10.1007/BF02784158zbMath1005.11021MaRDI QIDQ5957373

Solomon Friedberg, David Ginzburg, Daniel Bump

Publication date: 25 February 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

minimal representationperiodscubic Shimura lift

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Modular correspondences, etc. (11F32)

Related Items (1)

Endoscopic lifting in classical groups and poles of tensor \(L\)-functions

Cites Work

• Local Shimura correspondence
• Automorphic forms on covering groups of GL(2)
• Representations of reductive groups over finite fields
• Shimura and Shintani correspondences
• On the automorphic theta representation for simply laced groups
• Unipotent characters of the Chevalley groups \(D_ 4(q)\), \(q\) odd
• Metaplectic correspondence
• On a cubic lifting
• Cubic correspondences arising from G 2
• $L$-functions for symplectic groups
• The Characters of the Finite Symplectic Group Sp(4,q)
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)

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