Finite diagonal and coupled coefficients
Abstract
Finite diagonal and coupled coefficients
Theorem 1.1 (Finite diagonal and coupled coefficients).
Lean statement: D5/S3/VertexAlgebra/FormalSeries/ThreeFieldBalancedInverseKernel.balanced_inverse_coeff
Proof. Machine-checked in Lean as D5/S3/VertexAlgebra/FormalSeries/ThreeFieldBalancedInverseKernel.balanced_inverse_coeff (✓ std3). ∎
Source. Repository-derived.
Commentary.
The diagonal binomial kernel consumes l degrees in both native variables. The coupled kernel consumes r and r+j degrees. Their product therefore consumes r+l and r+j+l degrees, with the sign (-1)^j.
References
- Truth anchor:
D5/S3/VertexAlgebra/FormalSeries/ThreeFieldBalancedInverseKernel.balanced_inverse_coeff - Dependency: D5/S3/VertexAlgebra/FormalSeries/ThreeFieldBalancedLaurentFiber
- Dependency: D5/S3/VertexAlgebra/FormalSeries/ThreeFieldBalancedNativeInverse
- Dependency: D5/S3/VertexAlgebra/FormalSeries/ThreeFieldInnerInverseKernel