Modulo p parabolic induction of pro-p-Iwahori Hecke algebra
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Noriyuki Abe
Abstract
We study the structure of parabolic inductions of a pro-p-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo p representations of pro-p-Iwahori Hecke algebras in terms of supersingular representations. Since supersingular representations are classified by Ollivier and Vignéras, it completes the classification of irreducible modulo p representations.
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 26707001
Funding statement: This work was supported by JSPS KAKENHI, grant number 26707001.
Acknowledgements
I had many discussion with Marie-France Vignéras on the structure of pro-p-Iwahori Hecke algebras. I thank her for reading the manuscript and giving helpful comments.
References
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Articles in the same Issue
- Frontmatter
- Modulo p parabolic induction of pro-p-Iwahori Hecke algebra
- There are genus one curves of every index over every infinite, finitely generated field
- Kuranishi-type moduli spaces for proper CR-submersions fibering over the circle
- Petersson inner products of weight-one modular forms
- Severi varieties and Brill–Noether theory of curves on abelian surfaces
- Convergent normal form for real hypersurfaces at a generic Levi-degeneracy
- Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces
- Improved bounds in Weaver and Feichtinger conjectures
- On the ramification of étale cohomology groups
Articles in the same Issue
- Frontmatter
- Modulo p parabolic induction of pro-p-Iwahori Hecke algebra
- There are genus one curves of every index over every infinite, finitely generated field
- Kuranishi-type moduli spaces for proper CR-submersions fibering over the circle
- Petersson inner products of weight-one modular forms
- Severi varieties and Brill–Noether theory of curves on abelian surfaces
- Convergent normal form for real hypersurfaces at a generic Levi-degeneracy
- Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces
- Improved bounds in Weaver and Feichtinger conjectures
- On the ramification of étale cohomology groups
