  In these paper we compute Jordan-Kronecker invariants of Lie algebra
representations, introduced earlier by A.V. Bolsinov, A.M. Izosimov and I.K.
Kozlov, for a number of representations. In particular, we compute them for the
sums of standard representations of $\operatorname{gl}(n)$,
$\operatorname{sl}(n)$, $\operatorname{so}(n)$, $\operatorname{sp}(n)$, and the
Lie algebra of upper triangular matrices $\operatorname{b}(n)$; the standard
representation of Lie algebra of strictly upper triangular matrices
$\operatorname{n}(n)$; and for the differential of the congruence action of
$\operatorname{GL}(n)$ and $\operatorname{SL}(n)$ on symmetric forms and
skew-symmetric forms.
