  Classical Yang-Baxter equation governing bi-vector deformations of 10d
supergravity is known to have no solutions along non-abelian compact
isometries. By providing explicit examples we show that this is in contrast to
generalized Yang-Baxter equation governing tri-vector deformations of 11d
supergravity. We present deformations of the AdS7xS4 and flat backgrounds with
isometries generated by Killing vectors of a sphere. Isometries of the AdS
space-time are preserved by such deformations.
