THE MINIMAL MODULAR FORM ON QUATERNIONIC
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Publication:5037531
DOI10.1017/S1474748020000213zbMath1483.11070arXiv1810.04595OpenAlexW3080330450MaRDI QIDQ5037531
Publication date: 1 March 2022
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.04595
Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Exceptional groups (20G41)
Related Items (4)
Modular forms on indefinite orthogonal groups of rank three ⋮ The Fourier expansion of modular forms on quaternionic exceptional groups ⋮ Modular forms of half-integral weight on exceptional groups ⋮ A quaternionic Saito-Kurokawa lift and cusp forms on \(G_2\)
Cites Work
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- On the automorphic theta representation for simply laced groups
- Fourier coefficients of Eisenstein series of the exceptional group of type \(G_2\)
- Generalized Whittaker vectors for holomorphic and quaternionic representations
- Restrictions of quaternionic representations
- Lifting laws and arithmetic invariant theory
- Fourier coefficients of modular forms on \(G_2\).
- Quaternionic representations of exceptional Lie groups.
- The Fourier expansion of modular forms on quaternionic exceptional groups
- Exceptional modular form of weight 4 on an exceptional domain contained in \(\mathbb{C}^{27}\)
- On quaternionic discrete series representations, and their continuations.
- An Automorphic Theta Module for Quaternionic Exceptional Groups
- A Siegel-Weil formula for exceptional groups
- Number of connected components of groups of real points of adjoint groups
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