u=x y
SPACE is used as infix notation for the Lie multiplication. It is right associative and hence \break b b b a is the same as (b (b (b a))), which in output is written as (b b b a) or a normal form equivalent.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/GradedLieAlgebras/doc.m2:1903:0.