Manuscript IX-C-ST@1 · IX-C-ST.tex · section · 892f50c4

Coefficient definition

Whole-domain decomposition and the truncated product › Coefficient definition · lines 2270–2304

Let $C_{0} (F \otimes G) = F G$ . For positive orders use the following table; all unlisted positive entries on the new rows are prescribed zero.

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Domain	$C_{1}$	$C_{2}$	$C_{3}$
$B \otimes W$	$Q_{f, g}$	$0$	$0$
$W \otimes B$	$Q^{R}_{g, f^{'}}$	$0$	$0$
$L_{4} \otimes B$	$G_{13} + G_{23}$	$G_{13, 23}$	$0$
$B \otimes R_{4}$	$G_{12} + G_{13}$	$G_{12, 13}$	$0$
$L_{2} \otimes B$	$G_{12, 23} + G_{12, 13}$	$N_{c} (f, g, f^{'}) 1$	$0$
$B \otimes R_{2}$	$G_{12, 23} + G_{13, 23}$	$N_{c} (f, g, f^{'}) 1$	$0$
$D_{old}$	$C_{1}^{H}$	$C_{2}^{H}$	$C_{3}^{H}$

Theorem thm:degree4, Theorem thm:degree2maps, and the gluing results make this a table of maps on actual tensors, not merely on labels.

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