$F$-split Galois representations are potentially abelian
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- by Chandrashekhar Khare
- Proc. Amer. Math. Soc. 131 (2003), 3021-3023
- DOI: https://doi.org/10.1090/S0002-9939-03-06954-5
- Published electronically: February 20, 2003
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Abstract:
In this note we relate the property of a semisimple $\ell$-adic Galois representation being â$F$-splitâ to its having abelian image.References
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Bibliographic Information
- Chandrashekhar Khare
- Affiliation: Department of Mathematics, University of Utah, 155 S 1400 E, Salt lake City, Utah 84112
- Address at time of publication: School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India
- MR Author ID: 602853
- Email: shekhar@math.utah.edu, shekhar@math.tifr.res.in
- Received by editor(s): May 13, 2002
- Published electronically: February 20, 2003
- Communicated by: David E. Rohrlich
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3021-3023
- MSC (2000): Primary 11R32
- DOI: https://doi.org/10.1090/S0002-9939-03-06954-5
- MathSciNet review: 1993208