trureturingGitHub MATHEMATICAL ATLAS

VertexAlgebra / CONCEPT

Actual Lattice Reflection and Its Fixed Vertex Algebra

Reflection on the actual ordinary-lattice fields gives a fixed vertex algebra and all-mode sign selection.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES8
PROOF DEPTH12
DOCUMENT LINKS0
THEOREM

Charge reflection negates every oscillator and squares to identity

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The Actual Ungraded Lattice Vertex AlgebraThe Actual Ungraded LatticeVertex AlgebraThe Reflection-Twisted Lattice Ground RepresentationThe Reflection-Twisted LatticeGround RepresentationActual Lattice Reflection and Its Fixed Vertex AlgebraActual Lattice Reflection andIts Fixed Vertex AlgebraActual Lattice Theta CharacterActual Lattice Theta CharacterSourceGenerationSourceGenerationFixed-grade nondegeneracy and the algebraic restricted dualFixed-grade nondegeneracy andthe algebraic restricted dualActual Theta-Fixed Rootless Low GradesActual Theta-Fixed Rootless LowGradesThe Norm-Four Peirce Annihilator on the Whole Fixed SpaceThe Norm-Four PeirceAnnihilator on the Whole FixedSpaceCoordinate Monodromy of Every Corrected SourceCoordinate Monodromy of EveryCorrected SourceActual half-Fock parity and paired T actionActual half-Fock parity andpaired T actionOriginal Integer-Source Bilinear PairingOriginal Integer-SourceBilinear Pairing
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
12
Layer
D5/S3
Domain
VertexAlgebra
Node ID
D5/S3/VertexAlgebra/LatticeInvolution
Repository path
D5/S3/VertexAlgebra/LatticeInvolution.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.