Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 010-02. The Dimension of the Two-Adic Hecke Algebra at Odd Level
Manuscript map · lines 2625–2634
OpenAI@2026-10-07#rem:oai-p-010-02
Authors: OpenAI. Family 010.
Title: The Dimension of the Two-Adic Hecke Algebra at Odd Level.
Abstract: For every odd positive integer N, every irreducible component of the full two-adic Hecke algebra of level ${}Gamma_1(N)$ has Krull dimension four. This proves the p = 2 case of Emerton's dimension conjecture, including all residual components.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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