Mod-2 Hecke algebras of level 3 and 5

Deo, SV and Medvedovsky, A (2024) Mod-2 Hecke algebras of level 3 and 5. In: Selecta Mathematica, New Series, 30 (5).

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Abstract

We use deformation theory to study the big Hecke algebra acting on mod-2 modular forms of prime level N and all weights, especially its local component at the trivial representation. For N=3,5, we prove that the maximal reduced quotient of this big Hecke algebra is isomorphic to the maximal reduced quotient of the corresponding universal deformation ring. Then we completely determine the structure of this big Hecke algebra. We also describe a natural grading on mod-p Hecke algebras, and prove an R=T theorem for the partially full version of our mod-2 Hecke algebra. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Item Type:	Journal Article
Publication:	Selecta Mathematica, New Series
Publisher:	Birkhauser
Additional Information:	The copyright for this article belongs to publisher.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	09 Nov 2024 17:22
Last Modified:	09 Nov 2024 17:22
URI:	http://eprints.iisc.ac.in/id/eprint/86661

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