Set-theoretic Hida projectors
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- by Avner Ash PDF
- Proc. Amer. Math. Soc. 137 (2009), 1235-1237 Request permission
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
- 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.
- Haruzo Hida, Elementary theory of $L$-functions and Eisenstein series, London Mathematical Society Student Texts, vol. 26, Cambridge University Press, Cambridge, 1993. MR 1216135, DOI 10.1017/CBO9780511623691
Additional Information
- Avner Ash
- Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02445
- MR Author ID: 205374
- Email: Avner.Ash@bc.edu
- 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
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1235-1237
- MSC (2000): Primary 11F33; Secondary 11F75
- DOI: https://doi.org/10.1090/S0002-9939-08-09616-0
- MathSciNet review: 2465644