Irreducible vector-valued modular forms of dimension less than six

zbMath1343.11052arXiv1004.3019MaRDI QIDQ358920

Christopher Marks

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/1004.3019

zbMATH Keywords

Hilbert-Poincaré series\(T\)-unitarizable representationsholomorphic vector-valued modular forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Discontinuous groups and automorphic forms (11F99)

Related Items (19)

Affine vertex operator algebras and modular linear differential equations ⋮ Vector-valued modular forms and the modular orbifold of elliptic curves ⋮ Irreducible vector-valued modular forms of dimension less than six ⋮ Generating weights for the Weil representation attached to an even order cyclic quadratic module ⋮ The Theory of Vector-Valued Modular Forms for the Modular Group ⋮ Towards a classification of two-character rational conformal field theories ⋮ Three-dimensional imprimitive representations of the modular group and their associated modular forms ⋮ Meromorphic cosets and the classification of three-character CFT ⋮ Vertex operator algebras, minimal models, and modular linear differential equations of order 4 ⋮ ON THE EXISTENCE OF VECTOR-VALUED AUTOMORPHIC FORMS ⋮ On the structure of modules of vector-valued modular forms ⋮ Jacobi forms and differential operators ⋮ Discreteness and integrality in conformal field theory ⋮ Hypergeometric series, modular linear differential equations and vector-valued modular forms ⋮ Vertex operator algebras with central charge 8 and 16 ⋮ Vertex operator algebras and modular invariance ⋮ Classifying three-character RCFTs with Wronskian index equalling 0 or 2 ⋮ Modular flavor symmetry and vector-valued modular forms ⋮ Character vectors of strongly regular vertex operator algebras

Cites Work

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• Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\).
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