trureturingGitHub MATHEMATICAL ATLAS

VertexAlgebra / CONCEPT

Actual Finite Grades, Vacuum and Internal Direct Sum

Exact actual coefficient grades have full fiber bases and finite nonhomogeneous projections.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES8
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Actual basis vector formula

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Actual Fields of Every Lattice StateActual Fields of Every LatticeStateGeometric Coercivity and Finite Full Energy FibersGeometric Coercivity and FiniteFull Energy FibersActual Finite Grades, Vacuum and Internal Direct SumActual Finite Grades, Vacuumand Internal Direct SumInverse-free lattice coefficient energyInverse-free latticecoefficient energyOriginal corrected field energy covarianceOriginal corrected field energycovarianceFixed-grade nondegeneracy and the algebraic restricted dualFixed-grade nondegeneracy andthe algebraic restricted dualThe Actual Simple Graded Vacuum Vertex AlgebraThe Actual Simple Graded VacuumVertex AlgebraActual Sugawara Eigenspaces and Integer Mode GradingActual Sugawara Eigenspaces andInteger Mode GradingRational Coset Energy Bounds and an Attained MinimumRational Coset Energy Boundsand an Attained MinimumFull-charge canonical loop and finite-energy tracesFull-charge canonical loop andfinite-energy tracesOriginal Source Pairing: Reflection, Energy and CurrentsOriginal Source Pairing:Reflection, Energy and Currents
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
VertexAlgebra
Node ID
D5/S3/VertexAlgebra/LatticeEnergyGrading
Repository path
D5/S3/VertexAlgebra/LatticeEnergyGrading.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.