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Set-theoretic Hida projectors

Author: Avner Ash
Journal: Proc. Amer. Math. Soc. 137 (2009), 1235-1237
MSC (2000): Primary 11F33; Secondary 11F75
Published electronically: October 1, 2008
MathSciNet review: 2465644
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Abstract | References | Similar Articles | Additional Information

Abstract: In his work on ordinary $p$-adic modular forms, Hida defined certain idempotents in any commutative algebra of finite rank over the ring of integers in a finite extension of $\mathbb {Q}_p$. We generalize his construction in the context of maps of finite sets and their inverse limits.

References [Enhancements On Off] (What's this?)

  • Avner Ash and Glenn Stevens, $p$-adic deformations of automorphic cohomology, preprint, ashav/Papers/Ash-Stevens-Oct-07-DRAFT-copy.pdf.
  • Haruzo Hida, Elementary theory of $L$-functions and Eisenstein series, London Mathematical Society Student Texts, vol. 26, Cambridge University Press, Cambridge, 1993. MR 1216135

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Additional Information

Avner Ash
Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02445
MR Author ID: 205374

Keywords: $p$-adic, ordinary, projector, idempotent
Received by editor(s): November 6, 2007
Received by editor(s) in revised form: April 15, 2008
Published electronically: October 1, 2008
Additional Notes: The author wishes to thank the National Science Foundation for support of this research through NSF grant DMS-0455240.
Communicated by: Ken Ono
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.