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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 371, Number 8, 15 April 2019, Pages 53415377 https://doi.org/10.1090/tran/7364 Article electronically published on December 26, 2018POTENTIALLY GL2 TYPE GALOIS REPRESENTATIONS ASSOCIATED TO NONCONGRUENCE MODULAR FORMS WENCHING WINNIE LI, TONG LIU, AND LING LONG Abstract. In this paper, we consider representations of the absolute Galois group Gal(Q/Q) attached to modular forms for noncongruence subgroups of SL2 (Z). When the underlying
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Potentially GL2-type Galois refers to a particular class of Galois representations which exhibit specific properties that relate to GL(2), the group of invertible 2x2 matrices over a field. These representations are studied in the context of number theory and arithmetic geometry.
Individuals and entities involved in advanced research or applications relating to arithmetic geometry or number theory may be required to file or report information regarding potentially GL2-type Galois representations, particularly if they are part of an academic or regulatory framework.
Filling out a potentially GL2-type Galois report typically involves collecting relevant data about the Galois representations in question, documenting the associated mathematical properties, and following specified guidelines or templates provided by the overseeing authority or institution.
The purpose of documenting potentially GL2-type Galois representations is to facilitate the study of their properties and implications in various fields of mathematics, particularly in relation to congruences, modular forms, and their applications in number theory.
Information to report typically includes the defining characteristics of the Galois representation, relevant mathematical properties, associated frameworks, any numerical data, and compliance with any applicable research guidelines.
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