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Available in print format 		Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Set-theoretic Hida projectors

Author(s): Avner Ash
Journal: Proc. Amer. Math. Soc. 137 (2009), 1235-1237.
MSC (2000): Primary 11F33; Secondary 11F75
Posted: 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:

1.
Avner Ash and Glenn Stevens, $ p$-adic deformations of automorphic cohomology, preprint, http://www2.bc.edu/ ashav/Papers/Ash-Stevens-Oct-07-DRAFT-copy.pdf.

2.
Haruzo Hida, Elementary theory of $ L$-functions and Eisenstein series, London Mathematical Society Student Texts, 26, Cambridge Univ. Press, Cambridge (1993). MR 1216135 (94j:11044)

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Additional Information:

Avner Ash
Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02445
Email: Avner.Ash@bc.edu

DOI: 10.1090/S0002-9939-08-09616-0
PII: S 0002-9939(08)09616-0
Keywords: $p$-adic, ordinary, projector, idempotent
Received by editor(s): November 6, 2007,
Received by editor(s) in revised form: April 15, 2008
Posted: 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
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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