Dirac operators in tensor categories and the motive of quaternionic modular forms
classification
🧮 math.NT
keywords
divisionformsgeneralizesindefinitemodularmotivequaternionafford
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We define a motive whose realizations afford modular forms (of arbitrary weight) on an indefinite division quaternion algebra. This generalizes work of Iovita--Spiess to odd weights in the spirit of Jordan--Livn\'e. It also generalizes a construction of Scholl to indefinite division quaternion algebras.
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