On the dimensions of certain spaces of vector-valued cusp forms On the dimensions of certain spaces of vector-valued cusp forms

Given an irreducible representation of SL 2 ( F q ) for an odd prime q , we find the dimension of the space of cusp forms with respect to the full modular group taking values in the representation space. The dimension equals the multiplicity of the representation in the space of classical cusp forms...

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Bibliographic Details
Published in:The Ramanujan journal Vol. 68; no. 3; p. 89
Main Author: Nasit, Darshan
Format: Journal Article
Language:English
Published: New York Springer US 01.11.2025
Springer Nature B.V
Subjects:
Combinatorics
Cusps
Decomposition
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
Representations
Subgroups
Vector-valued cusp forms
11F75
11F70
Dimension formula
Character table
ISSN:1382-4090, 1572-9303
Online Access:Get full text
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Summary:Given an irreducible representation of SL 2 ( F q ) for an odd prime q , we find the dimension of the space of cusp forms with respect to the full modular group taking values in the representation space. The dimension equals the multiplicity of the representation in the space of classical cusp forms with respect to the principal congruence subgroup of level q .
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ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-025-01239-8