?? higher-dim analog / cousin of diagonal matrix .... ???? as showing up with nultiplication structure constants in partial fraction basis .... 3d structure constant matrix for bilinear op ... k_[a,b,c] as nonzero only when c=a or c=b ???? .... ????

??? a,b,c here as ranging over sectors indexed by points of riemann sphere ... ???...

?? these sectors as giving canonical sum decomposition of field of meromorphic functions ??? ....

??? relationship to .... ?? "joint fractional ideal power filtration for all ideals" ...

powers here as .... ?? staying within sectors ... ????? ....

filtration vs grading .... for unadorned vector spaces ... but then with bilinear multiplication ... various sorts of non-/compatibility ... ????...

???? number-theoretic analogs of this (?? ...) .... ????? .... ??? filtration vs grading .... ??? .... carrying .... ???? ..... decimal expansion .... for rational number ... repeating .... ??? new directions ???? ..... ????? .....