Bosonic Fradkin-Tseytlin equations unfolded

We test infinite-dimensional extension of algebra $$ mathfrak{s}mathfrak{u}left(k,;kright) $$ proposed by fradkin and linetsky as the candidate for conformal higher spin algebra. adjoint and twistedadjoint representations of $$ mathfrak{s}mathfrak{u}left(k,;kright) $$ on the space of this algebra are carefully explored. for k = 2 corresponding unfolded system is analyzed and it is shown to encode fradkin-tseytlin equations for the set of all integer spins 1, 2, . . . with infinite multiplicity.