  We investigate properties of bound and resonance states in the
$_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a
three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates
Gaussian and oscillator basis functions and reduces a three-cluster
Schr\"{o}dinger equation to a two-body like many-channel problem with the
two-cluster subsystems ($_{\Lambda}^{5}$He and $^8$Be) being in a bound or a
pseudo-bound state. Influence of the cluster polarization on the energy and
widths of resonance states in $_{\Lambda}^{9}$Be and on elastic and inelastic
$_{\Lambda}^{5}$He+$\alpha$ scattering is analyzed.
