Geodesic
On the behaviour of root elements in modular representations of symplectic groups
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 28-34.

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For the algebraic groups of type $C_n$, $n\ge 2$, in characteristic $p>2$ the Jordan block structure of images of long root elements in irreducible $p$-restricted representations with highest weights $m_1\omega_1+\ldots+m_n\omega_n$ and $m_{n-1}$ is described. 
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M. V. Velichko. On the behaviour of root elements in modular representations of symplectic groups. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 28-34. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a3/

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