On the classification of \((\mathfrak{g}, K)\)-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators
DOI10.1007/s40316-023-00211-6MaRDI QIDQ6618829
Publication date: 15 October 2024
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Eisenstein serieshighest weight modulesSiegel modular formsholomorphic projectionnearly holomorphic modular forms
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Cites Work
- Lowest weight modules of \(\mathrm{Sp}_4 (\mathbb{R})\) and nearly holomorphic Siegel modular forms
- Highest weight vectors for the principal series of semisimple Lie groups and embeddings of highest weight modules
- Degenerate principal series and invariant distributions
- Confluent hypergeometric functions on tube domains
- A regularized Siegel-Weil formula: The first term identity
- Nearly holomorphic automorphic forms on \(\mathrm{SP}_{2n}\) with sufficiently regular infinitesimal characters and applications
- Nearly holomorphic automorphic forms on \(\text{SL}_2\)
- CASIMIR OPERATORS FOR SYMPLECTIC GROUPS
- -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS
- The special values of the standard 𝐿-functions for 𝐺𝑆𝑝_{2𝑛}×𝐺𝐿₁
- Constructions of nearly holomorphic Siegel modular forms of degree two
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the classification of \((\mathfrak{g}, K)\)-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators
