Masdeu, Marc and Seveso, Marco Adamo (2017) Dirac operators in tensor categories and the motive of quaternionic modular forms. Advances in Mathematics, 313 . pp. 628-688. doi:10.1016/j.aim.2017.03.034 ISSN 0001-8708.

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Abstract

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–Livné. It also generalizes a construction of Scholl to indefinite division quaternion algebras, and provides the first motivic construction of new-subspaces of modular forms.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Dirac equation , Tensor algebra, Finite fields (Algebra), Quaternions
Journal or Publication Title:	Advances in Mathematics
Publisher:	Academic Press
ISSN:	0001-8708
Official Date:	20 June 2017
Dates:	Date Event 20 June 2017 Published 16 May 2017 Available 30 March 2017 Accepted
Volume:	313
Page Range:	pp. 628-688
DOI:	10.1016/j.aim.2017.03.034
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	13 November 2019
Date of first compliant Open Access:	15 November 2019

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