In this paper we extend a so called frame-like formulation of massless highspin particles to massive case. We start with two explicit examples of massivespin 2 and spin 3 particles and then construct gauge invariant description forarbitrary integer spin case. Similarly, for the fermionic case we start withfirst non-trivial example -- massive spin 5/2 particle and then construct gaugeinvariant description for arbitrary half-integer spin case. In all cases weconsider massive particles in (A)dS spaces with arbitrary cosmological constant(including flat Minkowski space) and this allows one to investigate allpossible massless and partially massless limits for such particles.
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