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Set-theoretic Hida projectors

Author(s): Avner Ash
Journal: Proc. Amer. Math. Soc.
MSC (2000): Primary 11F33; Secondary 11F75
Posted: October 1, 2008
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Abstract: In his work on ordinary -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, -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 -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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