Journal of the Ramanujan Mathematical Society

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Modular forms of Level p on the Exceptional Tube Domain


Affiliations
1 Department of Mathematics, Harvard University, Science Center, Cambridge Ma 02138, United States
2 Department of Mathematics, National University of Singapore 10 Kent Ridge Crescent-119260, Singapore
     

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Let G be a simply connected group defined over Q of type E7 with maximal split torus of rank 3. It is known that G(R)≅E7,3(R) but G splits over Qp for all finite primes p.
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  • Modular forms of Level p on the Exceptional Tube Domain

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Authors

Wee Teck Gan
Department of Mathematics, Harvard University, Science Center, Cambridge Ma 02138, United States
Hung Yean Loke
Department of Mathematics, National University of Singapore 10 Kent Ridge Crescent-119260, Singapore

Abstract


Let G be a simply connected group defined over Q of type E7 with maximal split torus of rank 3. It is known that G(R)≅E7,3(R) but G splits over Qp for all finite primes p.