trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Semisimple Unitary Commutants

A finite-dimensional unitary group action has a semisimple commutant. An integer shear action has a nonzero Jacobson radical, showing why the unitary hypothesis matters.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Adjoint closure forces a zero radical

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Conditional Record CapacityConditional Record CapacitySemisimple Unitary CommutantsSemisimple Unitary Commutants
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

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None recorded in this release.

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LIBRARY / RELEASE VERSIONS

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Matrix/CommutantSemisimple
Repository path
D5/S3/Quantum/Matrix/CommutantSemisimple.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.