Cadabra manual: CommutingAsSum

CommutingAsSum

Makes an object behave as a sum when commuting.

This makes an object behave, for purposes of commutation rules, as a sum.

A(#)::CommutingAsSum; {Q,X,Y,Z}::AntiCommuting; ex:= A(Y)(Z)*A(X);

$\displaystyle{}\text{Attached property CommutingAsSum to }A(\#).$

$\displaystyle{}\text{Attached property AntiCommuting to }(Q, X, Y, Z).$

$\displaystyle{}A(Y Z) A(X)$

sort_product(_);

$\displaystyle{}-A(X) A(Y Z)$

The minus sign arises because it would also have been present when sorting the expression (Y+Z)*X.