Invariant Ring of Clifford-weil Group, and Jacobi Forms over Totally Real Field

نویسندگان

  • Koichi Betsumiya
  • YoungJu Choie
  • YOUNGJU CHOIE
چکیده

— In this paper we show that the invariant polynomial ring of the associated Clifford-Weil group can be embedded into the ring of Jacobi modular forms over the totally real field, so, therefore, that of Hilbert modular forms over the totally real field. Résumé (Anneau des invariants du groupe de Clifford-Weil, et forme de Jacobi sur un corps totallement réel) Dans cet article nous démontrons que l’anneau des polynômes invariants par le groupe de Clifford-Weil peut être inclus dans l’anneau des formes modulaires de Jacobi sur le corps totalement réel, et donc aussi dans celui des formes modulaires de Hilbert sur le corps totalement réel.

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تاریخ انتشار 2009