Bosonic Fradkin-Tseytlin equations unfolded. Irreducible case
We factorize 4d Fradkin-Linetsky higher spin conformal algebra by maximal ideal $I^1-α$ and construct irreducible infinite-dimensional modules $M_α$ of 4d conformal algebra that are parameterized by real number $α$. It is shown that independently of $α$ unfolded system of equations corresponding to each $M_α$ describes collection of Fradkin-Tseytlin equations for all spins $s=1,\dots,\infty$ with zero multiplicity.